Operator theory and arithmetic in H ...:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1988
|
| Series: | Mathematical surveys and monographs
26 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 275 S. |
| ISBN: | 0821815288 |
Staff View
MARC
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| 245 | 1 | 0 | |a Operator theory and arithmetic in H ... |
| 246 | 1 | 3 | |a Operator theory and arithmetic in H infinity |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1988 | |
| 300 | |a XII, 275 S. | ||
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| 650 | 4 | |a Hilbert, Espace de | |
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| 650 | 7 | |a Operadores (Analise Funcional) |2 larpcal | |
| 650 | 7 | |a Opérateur Fredholm |2 Jussieu | |
| 650 | 7 | |a Opérateur contraction |2 Jussieu | |
| 650 | 4 | |a Opérateurs de contraction | |
| 650 | 4 | |a Contraction operators | |
| 650 | 4 | |a Fredholm operators | |
| 650 | 4 | |a Hilbert space | |
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| 650 | 0 | 7 | |a Kontraktionsoperator |0 (DE-588)4309128-3 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804116285327409152 |
|---|---|
| adam_text | Contents
Introduction xj
Chapter I. An Introduction to Dilation Theory 1
1. Unitary dilations of contractions 1
2. Isometries and unitary operators 8
3. Cyclic multiplicity and quasiaffine transforms 12
Chapter II. The Class Co 15
1. Functional calculus and the class Co 15
2. The arithmetic of inner functions 20
3. Minimal functions and maximal vectors 26
4. General properties of operators of class Co 29
Chapter III. Classification Theory 35
1. A case study: Jordan blocks 36
2. Multiplicity free operators 43
3. The splitting principle 47
4. Jordan operators 51
5. The classification theorem 56
6. Approximate decompositions 66
Chapter IV. Applications of Jordan Models 73
1. Algebras generated by T, and reflexivity 73
2. Hyperinvariant subspaces 84
3. Semigroups and Volterra operators 92
4. Representations of the convolution algebra £ (0, 1) 101
Chapter V. Characteristic Functions and the Class Co 109
1. Functional models of contractions 109
2. Tensor operations 120
3. Scalar multiples 128
ix
x CONTENTS
Chapter VI. Weak Contractions 139
1. Determinants, adjoints, and minors 140
2. Determinants of analytic functions 146
3. Defect operators and weak contractions 149
4. Defect operators and splitting 158
5. Invariant factors and quasiequivalence 165
6. The calculation of Jordan models from * cyclic sets 174
Chapter VII. Fredholm Theory 181
1. Finiteness properties 182
2. Operators with property (Q) 190
3. A continuity property of the Jordan model 195
4. Generalized inner functions 199
5. Operators with equal dimensions 206
6. Co Fredholm operators 216
7. Perturbation theorems. The bicommutant 225
Chapter VIII. Miscellaneous Applications 231
1. Compact intertwining operators 231
2. Compact intertwining operators; the Co case 239
3. Subisometric dilations 242
4. State spaces 245
Appendix: Notes and Comments 251
References 257
List of Notation 267
Subject Index 271
|
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/24 |
| dewey-search | 515.7/24 |
| dewey-sort | 3515.7 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV001791737 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:36:05Z |
| institution | BVB |
| isbn | 0821815288 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001207369 |
| oclc_num | 17805180 |
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| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-29T DE-824 DE-83 DE-188 |
| physical | XII, 275 S. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Bercovici, Hari 1953- Verfasser (DE-588)120157438 aut Operator theory and arithmetic in H ... Operator theory and arithmetic in H infinity Providence, RI American Math. Soc. 1988 XII, 275 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 26 Espace Hilbert Jussieu Fredholm, Opérateurs de Fredholm, Opérateurs de ram Hilbert, Espace de Hilbert, Espaces de ram Operadores (Analise Funcional) larpcal Opérateur Fredholm Jussieu Opérateur contraction Jussieu Opérateurs de contraction Contraction operators Fredholm operators Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Fredholm-Operator (DE-588)4155256-8 gnd rswk-swf Kontraktionsoperator (DE-588)4309128-3 gnd rswk-swf Kontraktionsoperator (DE-588)4309128-3 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Fredholm-Operator (DE-588)4155256-8 s Mathematical surveys and monographs 26 (DE-604)BV000018014 26 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001207369&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bercovici, Hari 1953- Operator theory and arithmetic in H ... Mathematical surveys and monographs Espace Hilbert Jussieu Fredholm, Opérateurs de Fredholm, Opérateurs de ram Hilbert, Espace de Hilbert, Espaces de ram Operadores (Analise Funcional) larpcal Opérateur Fredholm Jussieu Opérateur contraction Jussieu Opérateurs de contraction Contraction operators Fredholm operators Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd Fredholm-Operator (DE-588)4155256-8 gnd Kontraktionsoperator (DE-588)4309128-3 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4155256-8 (DE-588)4309128-3 |
| title | Operator theory and arithmetic in H ... |
| title_alt | Operator theory and arithmetic in H infinity |
| title_auth | Operator theory and arithmetic in H ... |
| title_exact_search | Operator theory and arithmetic in H ... |
| title_full | Operator theory and arithmetic in H ... |
| title_fullStr | Operator theory and arithmetic in H ... |
| title_full_unstemmed | Operator theory and arithmetic in H ... |
| title_short | Operator theory and arithmetic in H ... |
| title_sort | operator theory and arithmetic in h |
| topic | Espace Hilbert Jussieu Fredholm, Opérateurs de Fredholm, Opérateurs de ram Hilbert, Espace de Hilbert, Espaces de ram Operadores (Analise Funcional) larpcal Opérateur Fredholm Jussieu Opérateur contraction Jussieu Opérateurs de contraction Contraction operators Fredholm operators Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd Fredholm-Operator (DE-588)4155256-8 gnd Kontraktionsoperator (DE-588)4309128-3 gnd |
| topic_facet | Espace Hilbert Fredholm, Opérateurs de Hilbert, Espace de Hilbert, Espaces de Operadores (Analise Funcional) Opérateur Fredholm Opérateur contraction Opérateurs de contraction Contraction operators Fredholm operators Hilbert space Hilbert-Raum Fredholm-Operator Kontraktionsoperator |
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| volume_link | (DE-604)BV000018014 |
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