An introduction to local spectral theory:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Clarendon Press
2000
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: [London Mathematical Society monographs / New series]
20 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 591 S. |
| ISBN: | 0198523815 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804127907311779840 |
|---|---|
| adam_text | Contents
1 Decomposable operators 1
1.1 The evolution of axiomatic spectral theory 1
1.2 Characterizations of decomposability 7
1.3 Distinguished parts of the spectrum 34
1.4 Super decomposable operators 38
1.5 Generalized scalar operators 54
1.6 Local spectral properties of isometries and shifts 76
1.7 Growth conditions and Bishop s property (/?) 90
1.8 Summary of local spectral properties 97
2 Functional models, duality theory, and invariant subspaces 98
2.1 Tensor products and analytic functions 99
2.2 The three space lemmas for properties (/?) and (5) 112
2.3 Interlude on Bergman and Sobolev type spaces 120
2.4 Decomposable extensions and liftings 134
2.5 The duality between property (/?) and property (S) 149
2.6 Existence of invariant subspaces 174
3 The spectrum and spectral inclusions 197
3.1 The Kato spectrum 199
3.2 The Allan Leiterer theory 211
3.3 Spectral subspaces 220
3.4 Local spectral inclusions and permanence properties 243
3.5 Perturbed spectral inclusions 255
3.6 Local spectral properties of commutators 270
3.7 Fredholm theory and essential spectra 284
4 Local spectral theory for multipliers 299
4.1 Multipliers on commutative Banach algebras 300
4.2 Permanence properties of decomposable multipliers 318
4.3 Regular algebras and the hull kernel topology 329
4.4 Decomposable multiplication operators 348
4.5 Multipliers in M0(A) and MQ0(A) 362
4.6 Natural spectrum and symmetric algebras 368
4.7 Natural local spectra and Tauberian algebras 377
4.8 Banach algebras with scattered or discrete spectra 386
4.9 Compact and Riesz multipliers 396
xii Contents
4.10 Multipliers with closed range 405
4.11 Decomposable convolution operators 421
4.12 Arveson spectrum and spectral mapping theorems 434
4.13 Banach algebras of vector valued functions 452
5 Connections to automatic continuity 466
5.1 Some basic principles of automatic continuity 467
5.2 Translation invariance and causality 476
5.3 Singularity points for mappings of local type 483
5.4 Intertwining linear transformations 494
5.5 Non analytic functional calculi 505
5.6 Homomorphisms and derivations on Co(O, A) 520
6 Open problems 533
6.1 Operator theory 533
6.2 Banach algebras and multipliers 536
6.3 Automatic continuity 539
Appendix 540
A.I Basic functional analysis 540
A.2 Banach algebras 544
A.3 Vector valued analytic functions 547
Bibliography 549
Index of notation 575
Index 577
|
| any_adam_object | 1 |
| author | Laursen, Kjeld B. Neumann, Michael M. |
| author_facet | Laursen, Kjeld B. Neumann, Michael M. |
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| author_sort | Laursen, Kjeld B. |
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| building | Verbundindex |
| bvnumber | BV013207249 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)440742258 (DE-599)BVBBV013207249 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV013207249 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:40:48Z |
| institution | BVB |
| isbn | 0198523815 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008998003 |
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| physical | XII, 591 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | London Mathematical Society: [London Mathematical Society monographs / New series] |
| spelling | Laursen, Kjeld B. Verfasser aut An introduction to local spectral theory Kjeld B. Laursen and Michael M. Neumann 1. publ. Oxford [u.a.] Clarendon Press 2000 XII, 591 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: [London Mathematical Society monographs / New series] 20 Lokale Spektraltheorie (DE-588)4168110-1 gnd rswk-swf Lokale Spektraltheorie (DE-588)4168110-1 s DE-604 Neumann, Michael M. Verfasser aut New series] London Mathematical Society: [London Mathematical Society monographs 20 (DE-604)BV045355493 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008998003&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Laursen, Kjeld B. Neumann, Michael M. An introduction to local spectral theory Lokale Spektraltheorie (DE-588)4168110-1 gnd |
| subject_GND | (DE-588)4168110-1 |
| title | An introduction to local spectral theory |
| title_auth | An introduction to local spectral theory |
| title_exact_search | An introduction to local spectral theory |
| title_full | An introduction to local spectral theory Kjeld B. Laursen and Michael M. Neumann |
| title_fullStr | An introduction to local spectral theory Kjeld B. Laursen and Michael M. Neumann |
| title_full_unstemmed | An introduction to local spectral theory Kjeld B. Laursen and Michael M. Neumann |
| title_short | An introduction to local spectral theory |
| title_sort | an introduction to local spectral theory |
| topic | Lokale Spektraltheorie (DE-588)4168110-1 gnd |
| topic_facet | Lokale Spektraltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008998003&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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