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Numerical Range [[electronic resource] ] : The Field of Values of Linear Operators and Matrices / / by Karl E. Gustafson, Duggirala K.M. Rao
| Numerical Range [[electronic resource] ] : The Field of Values of Linear Operators and Matrices / / by Karl E. Gustafson, Duggirala K.M. Rao |
| Autore | Gustafson Karl E |
| Edizione | [1st ed. 1997.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 |
| Descrizione fisica | 1 online resource (XIV, 190 p. 11 illus. in color.) |
| Disciplina | 515/.7246 |
| Collana | Universitext |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Analysis |
| ISBN | 1-4613-8498-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Numerical Range -- 1.1 Elliptic Range -- 1.2 Spectral Inclusion -- 1.3 Numerical Radius -- 1.4 Normal Operators -- 1.5 Numerical Boundary -- 1.6 Other W-Ranges -- Endnotes for Chapter 1 -- 2 Mapping Theorems -- 2.1 Radius Mapping -- 2.2 Analytic Functions -- 2.3 Rational Functions -- 2.4 Operator Products -- 2.5 Commuting Operators -- 2.6 Dilation Theory -- Endnotes for Chapter 2 -- 3 Operator Trigonometry -- 3.1 Operator Angles -- 3.2 Minmax Equality -- 3.3 Operator Deviations -- 3.4 Semigroup Generators -- 3.5 Accretive Products -- 3.6 Antieigenvalue Theory -- Endnotes for Chapter 3 -- 4 Numerical Analysis -- 4.1 Optimization Algorithms -- 4.2 Conjugate Gradient -- 4.3 Discrete Stability -- 4.4 Fluid Dynamics -- 4.5 Lax—Wendroff Scheme -- 4.6 Pseudo Eigenvalues -- Endnotes for Chapter 4 -- 5 Finite Dimensions -- 5.1 Value Field -- 5.2 Gersgorin Sets -- 5.3 Radius Estimates -- 5.4 Hadamard Product -- 5.5 Generalized Ranges -- 5.6 W(A) Computation -- Endnotes for Chapter 5 -- 6 Operator Classes -- 6.1 Resolvent Growth -- 6.2 Three Classes -- 6.3 Spectral Sets -- 6.4 Normality Conditions -- 6.5 Finite Inclusions -- 6.6 Beyond Spectraloid -- Endnotes for Chapter 6. |
| Record Nr. | UNINA-9910807085003321 |
Gustafson Karl E
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi
| Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi |
| Autore | Zucchi Adele <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina |
510 s
515/.7246 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonselfadjoint operators
Functional analysis Hardy classes |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0192-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480934303321 |
|
Zucchi Adele <1966->
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| Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi
| Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi |
| Autore | Zucchi Adele <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina |
510 s
515/.7246 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonselfadjoint operators
Functional analysis Hardy classes |
| ISBN | 1-4704-0192-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788732003321 |
|
Zucchi Adele <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi
| Operators of class C0 with spectra in multiply connected regions / / Adele Zucchi |
| Autore | Zucchi Adele <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
| Descrizione fisica | 1 online resource (66 p.) |
| Disciplina |
510 s
515/.7246 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Nonselfadjoint operators
Functional analysis Hardy classes |
| ISBN | 1-4704-0192-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817222403321 |
|
Zucchi Adele <1966->
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| Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez
| Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez |
| Autore | Okada Susumu |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, 2008 |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.7246 |
| Altri autori (Persone) |
RickerWerner <1954->
Sánchez PérezEnrique A |
| Collana | Operator theory, advances, and applications |
| Soggetto topico |
Set functions
Linear operators Function spaces Functional analysis Integral operators |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-7643-8648-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quasi-Banach Function Spaces -- Vector Measures and Integration Operators -- Optimal Domains and Integral Extensions -- p-th Power Factorable Operators -- Factorization of p-th Power Factorable Operators through Lq-spaces -- Operators from Classical Harmonic Analysis. |
| Record Nr. | UNINA-9910451750303321 |
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Okada Susumu
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| Basel ; ; Boston, : Birkhäuser, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez
| Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez |
| Autore | Okada Susumu |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, 2008 |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.7246 |
| Altri autori (Persone) |
RickerWerner <1954->
Sánchez PérezEnrique A |
| Collana | Operator theory, advances, and applications |
| Soggetto topico |
Set functions
Linear operators Function spaces Functional analysis Integral operators |
| ISBN | 3-7643-8648-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quasi-Banach Function Spaces -- Vector Measures and Integration Operators -- Optimal Domains and Integral Extensions -- p-th Power Factorable Operators -- Factorization of p-th Power Factorable Operators through Lq-spaces -- Operators from Classical Harmonic Analysis. |
| Record Nr. | UNINA-9910782096503321 |
|
Okada Susumu
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| Basel ; ; Boston, : Birkhäuser, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez
| Optimal domain and integral extension of operators [[electronic resource] ] : acting in function spaces / / Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez |
| Autore | Okada Susumu |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Basel ; ; Boston, : Birkhäuser, 2008 |
| Descrizione fisica | 1 online resource (410 p.) |
| Disciplina | 515/.7246 |
| Altri autori (Persone) |
RickerWerner <1954->
Sánchez PérezEnrique A |
| Collana | Operator theory, advances, and applications |
| Soggetto topico |
Set functions
Linear operators Function spaces Functional analysis Integral operators |
| ISBN | 3-7643-8648-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Quasi-Banach Function Spaces -- Vector Measures and Integration Operators -- Optimal Domains and Integral Extensions -- p-th Power Factorable Operators -- Factorization of p-th Power Factorable Operators through Lq-spaces -- Operators from Classical Harmonic Analysis. |
| Record Nr. | UNINA-9910825154503321 |
|
Okada Susumu
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| Basel ; ; Boston, : Birkhäuser, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato
| Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato |
| Autore | Kato Tosio <1917-> |
| Edizione | [2nd ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XXI, 623 p.) |
| Disciplina | 515/.7246 |
| Soggetto topico |
Partial differential equations
Calculus of variations Partial Differential Equations Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-642-66282-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | One Operator theory in finite-dimensional vector spaces -- § 1. Vector spaces and normed vector spaces -- § 2. Linear forms and the adjoint space -- § 3. Linear operators -- § 4. Analysis with operators -- § 5. The eigenvalue problem -- § 6. Operators in unitary spaces -- Two Perturbation theory in a finite-dimensional space -- § 1. Analytic perturbation of eigenvalues -- § 2. Perturbation series -- § 3. Convergence radii and error estimates -- § . Similarity transformations of the eigenspaces and eigenvectors -- § 5. Non-analytic perturbations -- § 6. Perturbation of symmetric operators -- Three Introduction to the theory of operators in Banach spaces -- § 1. Banach spaces -- § 2. Linear operators in Banach spaces -- § 3. Bounded operators -- § 4. Compact operators -- § 5. Closed operators -- § 6. Resolvents and spectra -- Four Stability theorems -- §1. Stability of closedness and bounded invertibility -- § 2. Generalized convergence of closed operators -- § 3. Perturbation of the spectrum -- § 4. Pairs of closed linear manifolds -- § 5. Stability theorems for semi-Fredholm operators -- § 6. Degenerate perturbations -- Five Operators in Hilbert spaces -- § 1. Hilbert space -- § 2. Bounded operators in Hilbert spaces -- § 3. Unbounded operators in Hilbert spaces -- § 4. Perturbation of self adjoint operators -- § 5. The Schrödinger and Dirac operators -- Six Sesquilinear forms in Hilbert spaces and associated operators -- § 1. Sesquilinear and quadratic forms -- § 2. The representation theorems -- § 3. Perturbation of sesquilinear forms and the associated operators -- § 4. Quadratic forms and the Schrödinger operators -- § 5. The spectral theorem and perturbation of spectral families -- Seven Analytic perturbation theory -- § 1. Analytic families of operators -- § 2. Holomorphic families of type (A) -- § 3. Selfadjoint holomorphic families -- § 4. Holomorphic families of type (B) -- § 5. Further problems of analytic perturbation theory -- § 6. Eigenvalue problems in the generalized form -- Eight Asymptotic perturbation theory -- § 1. Strong convergence in the generalized sense -- § 2. Asymptotic expansions -- § 3. Generalized strong convergence of sectorial operators -- § 4. Asymptotic expansions for sectorial operators -- § 5. Spectral concentration -- Nine Perturbation theory for semigroups of operators -- § 1. One-parameter semigroups and groups of operators -- § 2. Perturbation of semigroups -- § 3. Approximation by discrete semigroups -- Ten Perturbation of continuous spectra and unitary equivalence -- §1. The continuous spectrum of a selfadjoint operator -- § 2. Perturbation of continuous spectra -- § 3. Wave operators and the stability of absolutely continuous spectra -- § 4. Existence and completeness of wave operators -- § 5. A stationary method -- Supplementary Notes -- Supplementary Bibliography -- Notation index -- Author index. |
| Record Nr. | UNINA-9910480724803321 |
|
Kato Tosio <1917->
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato
| Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato |
| Autore | Katō Tosio <1917-1999, > |
| Edizione | [2nd ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XXI, 623 p.) |
| Disciplina | 515/.7246 |
| Soggetto topico |
Differential equations
Mathematical optimization Calculus of variations Differential Equations Calculus of Variations and Optimization |
| ISBN | 3-642-66282-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | One Operator theory in finite-dimensional vector spaces -- § 1. Vector spaces and normed vector spaces -- § 2. Linear forms and the adjoint space -- § 3. Linear operators -- § 4. Analysis with operators -- § 5. The eigenvalue problem -- § 6. Operators in unitary spaces -- Two Perturbation theory in a finite-dimensional space -- § 1. Analytic perturbation of eigenvalues -- § 2. Perturbation series -- § 3. Convergence radii and error estimates -- § . Similarity transformations of the eigenspaces and eigenvectors -- § 5. Non-analytic perturbations -- § 6. Perturbation of symmetric operators -- Three Introduction to the theory of operators in Banach spaces -- § 1. Banach spaces -- § 2. Linear operators in Banach spaces -- § 3. Bounded operators -- § 4. Compact operators -- § 5. Closed operators -- § 6. Resolvents and spectra -- Four Stability theorems -- §1. Stability of closedness and bounded invertibility -- § 2. Generalized convergence of closed operators -- § 3. Perturbation of the spectrum -- § 4. Pairs of closed linear manifolds -- § 5. Stability theorems for semi-Fredholm operators -- § 6. Degenerate perturbations -- Five Operators in Hilbert spaces -- § 1. Hilbert space -- § 2. Bounded operators in Hilbert spaces -- § 3. Unbounded operators in Hilbert spaces -- § 4. Perturbation of self adjoint operators -- § 5. The Schrödinger and Dirac operators -- Six Sesquilinear forms in Hilbert spaces and associated operators -- § 1. Sesquilinear and quadratic forms -- § 2. The representation theorems -- § 3. Perturbation of sesquilinear forms and the associated operators -- § 4. Quadratic forms and the Schrödinger operators -- § 5. The spectral theorem and perturbation of spectral families -- Seven Analytic perturbation theory -- § 1. Analytic families of operators -- § 2. Holomorphic families of type (A) -- § 3. Selfadjoint holomorphic families -- § 4. Holomorphic families of type (B) -- § 5. Further problems of analytic perturbation theory -- § 6. Eigenvalue problems in the generalized form -- Eight Asymptotic perturbation theory -- § 1. Strong convergence in the generalized sense -- § 2. Asymptotic expansions -- § 3. Generalized strong convergence of sectorial operators -- § 4. Asymptotic expansions for sectorial operators -- § 5. Spectral concentration -- Nine Perturbation theory for semigroups of operators -- § 1. One-parameter semigroups and groups of operators -- § 2. Perturbation of semigroups -- § 3. Approximation by discrete semigroups -- Ten Perturbation of continuous spectra and unitary equivalence -- §1. The continuous spectrum of a selfadjoint operator -- § 2. Perturbation of continuous spectra -- § 3. Wave operators and the stability of absolutely continuous spectra -- § 4. Existence and completeness of wave operators -- § 5. A stationary method -- Supplementary Notes -- Supplementary Bibliography -- Notation index -- Author index. |
| Record Nr. | UNINA-9910789213503321 |
|
Katō Tosio <1917-1999, >
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||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato
| Perturbation Theory for Linear Operators [[electronic resource] /] / by Tosio Kato |
| Autore | Katō Tosio <1917-1999, > |
| Edizione | [2nd ed. 1995.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 |
| Descrizione fisica | 1 online resource (XXI, 623 p.) |
| Disciplina | 515/.7246 |
| Soggetto topico |
Differential equations
Mathematical optimization Calculus of variations Differential Equations Calculus of Variations and Optimization |
| ISBN | 3-642-66282-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | One Operator theory in finite-dimensional vector spaces -- § 1. Vector spaces and normed vector spaces -- § 2. Linear forms and the adjoint space -- § 3. Linear operators -- § 4. Analysis with operators -- § 5. The eigenvalue problem -- § 6. Operators in unitary spaces -- Two Perturbation theory in a finite-dimensional space -- § 1. Analytic perturbation of eigenvalues -- § 2. Perturbation series -- § 3. Convergence radii and error estimates -- § . Similarity transformations of the eigenspaces and eigenvectors -- § 5. Non-analytic perturbations -- § 6. Perturbation of symmetric operators -- Three Introduction to the theory of operators in Banach spaces -- § 1. Banach spaces -- § 2. Linear operators in Banach spaces -- § 3. Bounded operators -- § 4. Compact operators -- § 5. Closed operators -- § 6. Resolvents and spectra -- Four Stability theorems -- §1. Stability of closedness and bounded invertibility -- § 2. Generalized convergence of closed operators -- § 3. Perturbation of the spectrum -- § 4. Pairs of closed linear manifolds -- § 5. Stability theorems for semi-Fredholm operators -- § 6. Degenerate perturbations -- Five Operators in Hilbert spaces -- § 1. Hilbert space -- § 2. Bounded operators in Hilbert spaces -- § 3. Unbounded operators in Hilbert spaces -- § 4. Perturbation of self adjoint operators -- § 5. The Schrödinger and Dirac operators -- Six Sesquilinear forms in Hilbert spaces and associated operators -- § 1. Sesquilinear and quadratic forms -- § 2. The representation theorems -- § 3. Perturbation of sesquilinear forms and the associated operators -- § 4. Quadratic forms and the Schrödinger operators -- § 5. The spectral theorem and perturbation of spectral families -- Seven Analytic perturbation theory -- § 1. Analytic families of operators -- § 2. Holomorphic families of type (A) -- § 3. Selfadjoint holomorphic families -- § 4. Holomorphic families of type (B) -- § 5. Further problems of analytic perturbation theory -- § 6. Eigenvalue problems in the generalized form -- Eight Asymptotic perturbation theory -- § 1. Strong convergence in the generalized sense -- § 2. Asymptotic expansions -- § 3. Generalized strong convergence of sectorial operators -- § 4. Asymptotic expansions for sectorial operators -- § 5. Spectral concentration -- Nine Perturbation theory for semigroups of operators -- § 1. One-parameter semigroups and groups of operators -- § 2. Perturbation of semigroups -- § 3. Approximation by discrete semigroups -- Ten Perturbation of continuous spectra and unitary equivalence -- §1. The continuous spectrum of a selfadjoint operator -- § 2. Perturbation of continuous spectra -- § 3. Wave operators and the stability of absolutely continuous spectra -- § 4. Existence and completeness of wave operators -- § 5. A stationary method -- Supplementary Notes -- Supplementary Bibliography -- Notation index -- Author index. |
| Record Nr. | UNINA-9910820314903321 |
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Katō Tosio <1917-1999, >
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
