Spectral decompositions on Banach spaces:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1977
|
| Series: | Lecture notes in mathematics
623 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 122 S. |
| ISBN: | 3540085254 0387085254 |
Staff View
MARC
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| 245 | 1 | 0 | |a Spectral decompositions on Banach spaces |c Ivan Erdelyi ; Ridgley Lange |
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Record in the Search Index
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| adam_text | CONTENTS
Introduction 1
Chapter I: INVARIANT SUBSPACES 3
§ 1. Invariant subspaces and the single valued extension property 3
§ 2. Analytically invariant subspaces 14
§ 3. Spectral maximal spaces 26
Chapter II: THE GENERAL SPECTRAL DECOMPOSITION 36
§ 4. Operators with spectral decomposition properties 36
§ 5. Operator valued functions with spectral decomposition
properties 45
Chapter III: ASYMPTOTIC SPECTRAL DECOMPOSITIONS 50
§ 6. Analytically decomposable operators 50
§ 7. Weakly decomposable operators 55
§ 8. Spectral capacities 60
§ 9. Decomposable spectrum 64
§ 10. Quasidecomposable operators 69
Chapter IV: DECOMPOSABLE OPERATORS 73
§ 11. Properties and characterizations of decomposable operators 73
§ 12. The duality theory of spectral decompositions 80
§ 13. Spectral decompositions of unbounded operators 97
APPENDIX 106
A.I. An example of an analytically invariant subspace which is not
absorbent 106
A.2. The set spectra of decomposable operators 109
A. 3. The approximate point spectrum and the single valued extension
property 112
A.4. Some open problems 114
BIBLIOGRAPHY 116
Author index 120
Subject index 121
|
| any_adam_object | 1 |
| author | Erdelyi, Ivan Lange, Ridgley |
| author_facet | Erdelyi, Ivan Lange, Ridgley |
| author_role | aut aut |
| author_sort | Erdelyi, Ivan |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| institution | BVB |
| isbn | 3540085254 0387085254 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001288559 |
| oclc_num | 721595871 |
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| physical | VI, 122 S. |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Erdelyi, Ivan Verfasser aut Spectral decompositions on Banach spaces Ivan Erdelyi ; Ridgley Lange Berlin [u.a.] Springer 1977 VI, 122 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 623 Banach, Espaces de Banachruimten gtt Décomposition (Mathématiques) Operatortheorie gtt Spectre (Mathématiques) Banach spaces Decomposition (Mathematics) Spectral theory (Mathematics) Spektraldarstellung (DE-588)4182162-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Spektraldarstellung (DE-588)4182162-2 s Banach-Raum (DE-588)4004402-6 s DE-604 Spektraltheorie (DE-588)4116561-5 s Lange, Ridgley Verfasser aut Lecture notes in mathematics 623 (DE-604)BV000676446 623 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001288559&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Erdelyi, Ivan Lange, Ridgley Spectral decompositions on Banach spaces Lecture notes in mathematics Banach, Espaces de Banachruimten gtt Décomposition (Mathématiques) Operatortheorie gtt Spectre (Mathématiques) Banach spaces Decomposition (Mathematics) Spectral theory (Mathematics) Spektraldarstellung (DE-588)4182162-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4182162-2 (DE-588)4116561-5 (DE-588)4004402-6 (DE-588)4113937-9 |
| title | Spectral decompositions on Banach spaces |
| title_auth | Spectral decompositions on Banach spaces |
| title_exact_search | Spectral decompositions on Banach spaces |
| title_full | Spectral decompositions on Banach spaces Ivan Erdelyi ; Ridgley Lange |
| title_fullStr | Spectral decompositions on Banach spaces Ivan Erdelyi ; Ridgley Lange |
| title_full_unstemmed | Spectral decompositions on Banach spaces Ivan Erdelyi ; Ridgley Lange |
| title_short | Spectral decompositions on Banach spaces |
| title_sort | spectral decompositions on banach spaces |
| topic | Banach, Espaces de Banachruimten gtt Décomposition (Mathématiques) Operatortheorie gtt Spectre (Mathématiques) Banach spaces Decomposition (Mathematics) Spectral theory (Mathematics) Spektraldarstellung (DE-588)4182162-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach, Espaces de Banachruimten Décomposition (Mathématiques) Operatortheorie Spectre (Mathématiques) Banach spaces Decomposition (Mathematics) Spectral theory (Mathematics) Spektraldarstellung Spektraltheorie Banach-Raum Hochschulschrift |
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| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT erdelyiivan spectraldecompositionsonbanachspaces AT langeridgley spectraldecompositionsonbanachspaces |