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Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
| Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
| Autore | Agler Jim |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 515/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0498-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Generalizations of the Herglotz Representation Theorem, von Neumann's Inequality and the Sz.-Nagy Dilation Theorem to Multiply Connected Domains""; ""1.1. Introduction""; ""1.2. Preliminaries""; ""1.3. The First Herglotz Representation""; ""1.4. The Second Herglotz Representation""; ""1.5. The Third Herglotz Representation""; ""1.6. The Herglotz Representations and Operator Theory""; ""1.7. An Application""; ""Chapter 2. The Computational Generation of Counterexamples to the Rational Dilation Conjecture""; ""2.1. Introduction""
""2.2. Mathematical Preliminaries""""2.3. Analysis of the Dilation Condition for Nonsingularly Hyperextremal Grammians""; ""2.4. Analysis of Dilation Extremal Grammians""; ""2.5. Algorithms""; ""2.6. A Computational Counterexample""; ""2.7. Plausibility Arguments""; ""Chapter 3. Arbitrary Precision Computations of the Poisson Kernel and Herglotz Kernels on Multiply-Connected Circle Domains""; ""3.1. Introduction""; ""3.2. Computation of the Functions""; ""3.3. Results""; ""Chapter 4. Schwartz Kernels on Multiply Connected Domains""; ""Appendix A. Convergence Results"" ""Appendix B. Example Inner Product Computation""""Bibliography"" |
| Record Nr. | UNINA-9910480393003321 |
Agler Jim
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
| Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
| Autore | Agler Jim |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 515/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
| ISBN | 1-4704-0498-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Generalizations of the Herglotz Representation Theorem, von Neumann's Inequality and the Sz.-Nagy Dilation Theorem to Multiply Connected Domains""; ""1.1. Introduction""; ""1.2. Preliminaries""; ""1.3. The First Herglotz Representation""; ""1.4. The Second Herglotz Representation""; ""1.5. The Third Herglotz Representation""; ""1.6. The Herglotz Representations and Operator Theory""; ""1.7. An Application""; ""Chapter 2. The Computational Generation of Counterexamples to the Rational Dilation Conjecture""; ""2.1. Introduction""
""2.2. Mathematical Preliminaries""""2.3. Analysis of the Dilation Condition for Nonsingularly Hyperextremal Grammians""; ""2.4. Analysis of Dilation Extremal Grammians""; ""2.5. Algorithms""; ""2.6. A Computational Counterexample""; ""2.7. Plausibility Arguments""; ""Chapter 3. Arbitrary Precision Computations of the Poisson Kernel and Herglotz Kernels on Multiply-Connected Circle Domains""; ""3.1. Introduction""; ""3.2. Computation of the Functions""; ""3.3. Results""; ""Chapter 4. Schwartz Kernels on Multiply Connected Domains""; ""Appendix A. Convergence Results"" ""Appendix B. Example Inner Product Computation""""Bibliography"" |
| Record Nr. | UNINA-9910788851103321 |
|
Agler Jim
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
| Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
| Autore | Agler Jim |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (176 p.) |
| Disciplina | 515/.7 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
| ISBN | 1-4704-0498-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Generalizations of the Herglotz Representation Theorem, von Neumann's Inequality and the Sz.-Nagy Dilation Theorem to Multiply Connected Domains""; ""1.1. Introduction""; ""1.2. Preliminaries""; ""1.3. The First Herglotz Representation""; ""1.4. The Second Herglotz Representation""; ""1.5. The Third Herglotz Representation""; ""1.6. The Herglotz Representations and Operator Theory""; ""1.7. An Application""; ""Chapter 2. The Computational Generation of Counterexamples to the Rational Dilation Conjecture""; ""2.1. Introduction""
""2.2. Mathematical Preliminaries""""2.3. Analysis of the Dilation Condition for Nonsingularly Hyperextremal Grammians""; ""2.4. Analysis of Dilation Extremal Grammians""; ""2.5. Algorithms""; ""2.6. A Computational Counterexample""; ""2.7. Plausibility Arguments""; ""Chapter 3. Arbitrary Precision Computations of the Poisson Kernel and Herglotz Kernels on Multiply-Connected Circle Domains""; ""3.1. Introduction""; ""3.2. Computation of the Functions""; ""3.3. Results""; ""Chapter 4. Schwartz Kernels on Multiply Connected Domains""; ""Appendix A. Convergence Results"" ""Appendix B. Example Inner Product Computation""""Bibliography"" |
| Record Nr. | UNINA-9910828650503321 |
|
Agler Jim
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cocycles of CCR flows / / B.V. Rajarama Bhat
| Cocycles of CCR flows / / B.V. Rajarama Bhat |
| Autore | Bhat B. V. Rajarama <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
530.12/01/51923 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Stochastic processes
Quantum theory Cocycles Dilation theory (Operator theory) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0300-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1 Introduction""; ""2 Compressions and dilations""; ""3 Minimal dilation and induced semigroup""; ""4 Domination for E[sub(0)]-semigroups""; ""5 Compression under domination""; ""6 Units""; ""7 Cocycle computation for CCR flows""; ""8 Factorization theorem""; ""9 Hudson-Parthasarathy cocycles""; ""Appendix A: Continuity""; ""Appendix B: Discrete case""; ""References"" |
| Record Nr. | UNINA-9910479979203321 |
|
Bhat B. V. Rajarama <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cocycles of CCR flows / / B.V. Rajarama Bhat
| Cocycles of CCR flows / / B.V. Rajarama Bhat |
| Autore | Bhat B. V. Rajarama <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
530.12/01/51923 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Stochastic processes
Quantum theory Cocycles Dilation theory (Operator theory) |
| ISBN | 1-4704-0300-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1 Introduction""; ""2 Compressions and dilations""; ""3 Minimal dilation and induced semigroup""; ""4 Domination for E[sub(0)]-semigroups""; ""5 Compression under domination""; ""6 Units""; ""7 Cocycle computation for CCR flows""; ""8 Factorization theorem""; ""9 Hudson-Parthasarathy cocycles""; ""Appendix A: Continuity""; ""Appendix B: Discrete case""; ""References"" |
| Record Nr. | UNINA-9910788842803321 |
|
Bhat B. V. Rajarama <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Cocycles of CCR flows / / B.V. Rajarama Bhat
| Cocycles of CCR flows / / B.V. Rajarama Bhat |
| Autore | Bhat B. V. Rajarama <1966-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (130 p.) |
| Disciplina |
510 s
530.12/01/51923 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Stochastic processes
Quantum theory Cocycles Dilation theory (Operator theory) |
| ISBN | 1-4704-0300-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""1 Introduction""; ""2 Compressions and dilations""; ""3 Minimal dilation and induced semigroup""; ""4 Domination for E[sub(0)]-semigroups""; ""5 Compression under domination""; ""6 Units""; ""7 Cocycle computation for CCR flows""; ""8 Factorization theorem""; ""9 Hudson-Parthasarathy cocycles""; ""Appendix A: Continuity""; ""Appendix B: Discrete case""; ""References"" |
| Record Nr. | UNINA-9910807035103321 |
|
Bhat B. V. Rajarama <1966->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]]
| Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]] |
| Autore | Paulsen Vern I. <1951-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xii, 300 pages) : digital, PDF file(s) |
| Disciplina | 512/.55 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Operator algebras
Dilation theory (Operator theory) Mappings (Mathematics) |
| ISBN |
1-107-13453-6
1-280-42008-1 9786610420087 1-139-14839-7 0-511-16960-4 0-511-05470-X 0-511-30273-8 0-511-54663-7 0-511-06949-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization. |
| Altri titoli varianti | Completely Bounded Maps & Operator Algebras |
| Record Nr. | UNINA-9910450054903321 |
|
Paulsen Vern I. <1951->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]]
| Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]] |
| Autore | Paulsen Vern I. <1951-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xii, 300 pages) : digital, PDF file(s) |
| Disciplina | 512/.55 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Operator algebras
Dilation theory (Operator theory) Mappings (Mathematics) |
| ISBN |
1-107-13453-6
1-280-42008-1 9786610420087 1-139-14839-7 0-511-16960-4 0-511-05470-X 0-511-30273-8 0-511-54663-7 0-511-06949-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization. |
| Altri titoli varianti | Completely Bounded Maps & Operator Algebras |
| Record Nr. | UNINA-9910783114203321 |
|
Paulsen Vern I. <1951->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]]
| Completely bounded maps and operator algebras / / Vern Paulsen [[electronic resource]] |
| Autore | Paulsen Vern I. <1951-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xii, 300 pages) : digital, PDF file(s) |
| Disciplina | 512/.55 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Operator algebras
Dilation theory (Operator theory) Mappings (Mathematics) |
| ISBN |
1-107-13453-6
1-280-42008-1 9786610420087 1-139-14839-7 0-511-16960-4 0-511-05470-X 0-511-30273-8 0-511-54663-7 0-511-06949-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization. |
| Altri titoli varianti | Completely Bounded Maps & Operator Algebras |
| Record Nr. | UNINA-9910828966603321 |
|
Paulsen Vern I. <1951->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator theory on noncommutative domains / / Gelu Popescu
| Operator theory on noncommutative domains / / Gelu Popescu |
| Autore | Popescu Gelu <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (124 p.) |
| Disciplina | 515.724 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Ergodic theory
Linear operators Dilation theory (Operator theory) Noncommutative algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0578-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Operator algebras associated with noncommutative domains""; ""1.1. The noncommutative domain Df and a universal model""; ""1.2. The domain algebra An(Df) and its representations""; ""1.3. The Hardy algebra Fn(Df)""; ""1.4. Functional calculus for n-tuples of operators in Df""; ""1.5. The noncommutative variety Vf,J and a functional calculus""; ""1.6. Weighted shifts, symmetric weighted Fock spaces, and multipliers""; ""Chapter 2. Free holomorphic functions on noncommutative domains""
""2.1. Free holomorphic functions and Poisson transforms""""2.2. Schwarz lemma and Bohr's inequality for Fn(Df) ""; ""2.3. Weierstrass and Montel theorems for the algebra Hol(Df)""; ""2.4. Cauchy transforms and analytic functional calculus for n-tuples of operators""; ""Chapter 3. Model theory and unitary invariants on noncommutative domains""; ""3.1. Weighted shifts and invariant subspaces""; ""3.2. C*-algebras associated with noncommutative varieties and Wold decompositions""; ""3.3. Dilations on noncommutative domains and varieties""; ""3.4. Characteristic functions and model theory"" ""3.5. Curvature invariant for n-tuples of operators in Dp""""Chapter 4. Commutant lifting and applications""; ""4.1. Interpolation on noncommutative domains""; ""4.2. Corona theorem for a class of Hardy algebras""; ""Bibliography"" |
| Record Nr. | UNINA-9910480404803321 |
|
Popescu Gelu <1958->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
