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Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Autore Böttcher Albrecht
Edizione [1st ed. 1999.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XI, 259 p.)
Disciplina 514
Collana Universitext
Soggetto topico Topology
Matrix theory
Algebra
Mathematical analysis
Analysis (Mathematics)
Linear and Multilinear Algebras, Matrix Theory
Analysis
ISBN 1-4612-1426-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index.
Record Nr. UNINA-9910480322303321
Böttcher Albrecht  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Introduction to Large Truncated Toeplitz Matrices [[electronic resource] /] / by Albrecht Böttcher, Bernd Silbermann
Autore Böttcher Albrecht
Edizione [1st ed. 1999.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XI, 259 p.)
Disciplina 514
Collana Universitext
Soggetto topico Topology
Matrix theory
Algebra
Mathematical analysis
Analysis (Mathematics)
Linear and Multilinear Algebras, Matrix Theory
Analysis
ISBN 1-4612-1426-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index.
Record Nr. UNINA-9910789218803321
Böttcher Albrecht  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Large Truncated Toeplitz Matrices / / by Albrecht Böttcher, Bernd Silbermann
Introduction to Large Truncated Toeplitz Matrices / / by Albrecht Böttcher, Bernd Silbermann
Autore Böttcher Albrecht
Edizione [1st ed. 1999.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XI, 259 p.)
Disciplina 514
Collana Universitext
Soggetto topico Topology
Matrix theory
Algebra
Mathematical analysis
Analysis (Mathematics)
Linear and Multilinear Algebras, Matrix Theory
Analysis
ISBN 1-4612-1426-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Infinite Matrices -- 1.1 Boundedness and Invertibility -- 1.2 Laurent Matrices -- 1.3 Toeplitz Matrices -- 1.4 Hankel Matrices -- 1.5 Wiener-Hopf Factorization -- 1.6 Continuous Symbols -- 1.7 Locally Sectorial Symbols -- 1.8 Discontinuous Symbols -- 2 Finite Section Method and Stability -- 2.1 Approximation Methods -- 2.2 Continuous Symbols -- 2.3 Asymptotic Inverses -- 2.4 The Gohberg-Feldman Approach -- 2.5 Algebraization of Stability -- 2.6 Local Principles -- 2.7 Localization of Stability -- 3 Norms of Inverses and Pseudospectra -- 3.1C*-Algebras -- 3.2 Continuous Symbols -- 3.3 Piecewise Continuous Symbols -- 3.4 Norm of the Resolvent -- 3.5 Limits of Pseudospectra -- 3.6 Pseudospectra of Infinite Toeplitz Matrices -- 4 Moore-Penrose Inverses and Singular Values -- 4.1 Singular Values of Matrices -- 4.2 The Lowest Singular Value -- 4.3 The Splitting Phenomenon -- 4.4 Upper Singular Values -- 4.5 Moler’s Phenomenon -- 4.6 Limiting Sets of Singular Values -- 4.7 The Moore-Penrose Inverse -- 4.8 Asymptotic Moore-Penrose Inversion -- 4.9 Moore-Penrose Sequences -- 4.10 Exact Moore-Penrose Sequences -- 4.11 Regularization and Kato Numbers -- 5 Determinants and Eigenvalues -- 5.1 The Strong Szegö Limit Theorem -- 5.2 Ising Model and Onsager Formula -- 5.3 Second-Order Trace Formulas -- 5.4 The First Szegö Limit Theorem -- 5.5 Hermitian Toeplitz Matrices -- 5.6 The Avram-Parter Theorem -- 5.7 The Algebraic Approach to Trace Formulas -- 5.8 Toeplitz Band Matrices -- 5.9 Rational Symbols -- 5.10 Continuous Symbols -- 5.11 Fisher-Hartwig Determinants -- 5.12 Piecewise Continuous Symbols -- 6 Block Toeplitz Matrices -- 6.1 Infinite Matrices -- 6.2 Finite Section Method and Stability -- 6.3 Norms of Inverses and Pseudospectra -- 6.4 Distribution of Singular Values -- 6.5 Asymptotic Moore-Penrose Inversion -- 6.6 Trace Formulas -- 6.7 The Szegö-Widom Limit Theorem -- 6.8 Rational Matrix Symbols -- 6.9 Multilevel Toeplitz Matrices -- 7 Banach Space Phenomena -- 7.1 Boundedness -- 7.2 Fredholmness and Invertibility -- 7.3 Continuous Symbols -- 7.4 Piecewise Continuous Symbols -- 7.5 Loss of Symmetry -- References -- Symbol Index.
Record Nr. UNINA-9910828902203321
Böttcher Albrecht  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Operator Theory, Operator Algebras, and Matrix Theory / / edited by Carlos André, M. Amélia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, Ion Zaballa
Operator Theory, Operator Algebras, and Matrix Theory / / edited by Carlos André, M. Amélia Bastos, Alexei Yu. Karlovich, Bernd Silbermann, Ion Zaballa
Edizione [1st ed. 2018.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018
Descrizione fisica 1 online resource (381 pages)
Disciplina 515.724
Collana Operator Theory: Advances and Applications
Soggetto topico Operator theory
Matrix theory
Algebra
Functional analysis
Operator Theory
Linear and Multilinear Algebras, Matrix Theory
Functional Analysis
ISBN 3-319-72449-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Indecomposable supercharacters of the infinite unitriangular group -- A nonlocal C*-algebra of singular integral operators with shifts and piecewise quasicontinuous coefficients -- Non-Hermitian quantum mechanics of bosonic operators -- Fredholm conditions on non-compact manifolds: theory and examples -- Statistical e-Convergence of Bögel-Type Continuous Functions -- Weighted statistical relative approximation by positive linear operators -- Descriptor systems under feedback and output injection -- Hermitian geometry on resolvent set (I) -- Spectral algorithms for MRA orthonormal wavelets -- The NIEP -- Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data -- Factorization of singular integral operators with a Carleman backward shift: the vector case -- Extension-restriction theorems for algebras of approximation sequences -- Toeplitz and Hankel algebras - axiomatic and asymptotic aspects -- More than 40 years of algebraic techniques in Numerical Analysis -- Linearizability of multi-control systems of the class C1 by additive change of controls -- The distance formula related to a family of projections orthogonal to their symmetries.
Record Nr. UNINA-9910300139803321
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui