Schur parameters, factorization and dilation problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1996
|
| Schriftenreihe: | Operator theory
82 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 253 S. |
| ISBN: | 376435285X 081765285X |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125207045079040 |
|---|---|
| adam_text | Contents
Preface vii
1 Schur Parameters and Positive Block Matrices
1.1 Preliminaries 1
1.2 Renorming Hilbert Spaces and Elementary Rotations 6
1.3 Kolmogorov Decompositions. I 9
1.4 Row and Column Contractions 13
1.5 The Structure of Positive Definite Kernels 18
1.6 Kolmogorov Decompositions. II 26
1.7 Notes 33
2 Models for Triangular Contractions
2.1 Preliminaries 35
2.2 The Structure of Triangular Contractions 37
2.3 Realization of Triangular Contractions 41
2.4 Unitary Couplings and Operator Ranges 45
2.5 Modeling Families of Contractions 50
2.6 Notes 55
3 Moment Problems and Interpolation
3.1 A Survey on Completion Problems 57
3.2 Extensions of Partial Isometries 64
3.3 Krein s Formula 67
3.4 Moment Problems 71
3.5 The Commutant Lifting Method 82
3.6 Notes 90
4 Displacement Structures
4.1 Structured Matrices 93
4.2 Generalized Schur Algorithm 100
4.3 Discrete Transmission Line Models 108
4.4 Displacement Structure and Completion Problems 112
4.5 Other Applications 119
4.6 Notes 125
v
vi CONTENTS
5 Factorization of Positive Definite Kernels
5.1 Spectral Factors 127
5.2 Examples 133
5.3 Schur s Algorithm, Szego s Theory and Spectral Factors 137
5.4 Maximum Entropy 144
5.5 Notes 152
6 Nonstationary Processes
6.1 Modeling Nonstationary Processes 155
6.2 Kolmogorov Wiener Prediction 159
6.3 Other Prediction Problems 165
6.4 Szego s Limit Theorems 170
6.5 Notes 176
7 Graphs and Completion Problems
7.1 Preliminaries 179
7.2 Completing Positive Partial Matrices. I 186
7.3 Completing Positive Partial Matrices. II 193
7.4 Completing Contractive Partial Matrices 199
7.5 Notes 201
8 Determinantal Formulae and Optimization
8.1 Determinantal Formulae 203
8.2 Maximum Determinant Formulae 210
8.3 Maximum Determinant for Nonchordal Graphs 214
8.4 Inheritance Principles 218
8.5 Notes 222
References 223
Index 251
|
| any_adam_object | 1 |
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| discipline | Mathematik |
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| id | DE-604.BV010726638 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:53Z |
| institution | BVB |
| isbn | 376435285X 081765285X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007163320 |
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| physical | IX, 253 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
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| series | Operator theory |
| series2 | Operator theory |
| spelling | Constantinescu, Tiberiu Verfasser aut Schur parameters, factorization and dilation problems Tiberiu Constantinescu Basel [u.a.] Birkhäuser 1996 IX, 253 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 82 Banachruimten gtt Dispersion (Mathématiques) ram Espaces d'interpolation ram Espaces linéaires normés ram Interpolation spaces Normed linear spaces Scattering (Mathematics) Interpolation (DE-588)4162121-9 gnd rswk-swf Fortsetzung Mathematik (DE-588)4334458-6 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Normierter Raum (DE-588)4127735-1 gnd rswk-swf Faktorisierung (DE-588)4128927-4 gnd rswk-swf Schur-Parameter (DE-588)4432315-3 gnd rswk-swf Dilatation (DE-588)4149923-2 gnd rswk-swf Dilatation (DE-588)4149923-2 s Operatortheorie (DE-588)4075665-8 s Faktorisierung (DE-588)4128927-4 s DE-604 Schur-Parameter (DE-588)4432315-3 s Fortsetzung Mathematik (DE-588)4334458-6 s Normierter Raum (DE-588)4127735-1 s Interpolation (DE-588)4162121-9 s Operator theory 82 (DE-604)BV000000970 82 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007163320&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Constantinescu, Tiberiu Schur parameters, factorization and dilation problems Operator theory Banachruimten gtt Dispersion (Mathématiques) ram Espaces d'interpolation ram Espaces linéaires normés ram Interpolation spaces Normed linear spaces Scattering (Mathematics) Interpolation (DE-588)4162121-9 gnd Fortsetzung Mathematik (DE-588)4334458-6 gnd Operatortheorie (DE-588)4075665-8 gnd Normierter Raum (DE-588)4127735-1 gnd Faktorisierung (DE-588)4128927-4 gnd Schur-Parameter (DE-588)4432315-3 gnd Dilatation (DE-588)4149923-2 gnd |
| subject_GND | (DE-588)4162121-9 (DE-588)4334458-6 (DE-588)4075665-8 (DE-588)4127735-1 (DE-588)4128927-4 (DE-588)4432315-3 (DE-588)4149923-2 |
| title | Schur parameters, factorization and dilation problems |
| title_auth | Schur parameters, factorization and dilation problems |
| title_exact_search | Schur parameters, factorization and dilation problems |
| title_full | Schur parameters, factorization and dilation problems Tiberiu Constantinescu |
| title_fullStr | Schur parameters, factorization and dilation problems Tiberiu Constantinescu |
| title_full_unstemmed | Schur parameters, factorization and dilation problems Tiberiu Constantinescu |
| title_short | Schur parameters, factorization and dilation problems |
| title_sort | schur parameters factorization and dilation problems |
| topic | Banachruimten gtt Dispersion (Mathématiques) ram Espaces d'interpolation ram Espaces linéaires normés ram Interpolation spaces Normed linear spaces Scattering (Mathematics) Interpolation (DE-588)4162121-9 gnd Fortsetzung Mathematik (DE-588)4334458-6 gnd Operatortheorie (DE-588)4075665-8 gnd Normierter Raum (DE-588)4127735-1 gnd Faktorisierung (DE-588)4128927-4 gnd Schur-Parameter (DE-588)4432315-3 gnd Dilatation (DE-588)4149923-2 gnd |
| topic_facet | Banachruimten Dispersion (Mathématiques) Espaces d'interpolation Espaces linéaires normés Interpolation spaces Normed linear spaces Scattering (Mathematics) Interpolation Fortsetzung Mathematik Operatortheorie Normierter Raum Faktorisierung Schur-Parameter Dilatation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007163320&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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