Multiparameter spectral theory in Hilbert space:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Pitman
1978
|
| Edition: | 1. publ. |
| Series: | Research notes in mathematics
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 118 S. |
| ISBN: | 0273084143 |
Staff View
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| 245 | 1 | 0 | |a Multiparameter spectral theory in Hilbert space |c B. D. Sleeman |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a London [u.a.] |b Pitman |c 1978 | |
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Record in the Search Index
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| adam_text | Contents
CHAPTER 1 AN INTRODUCTION 1
References 7
CHAPTER 2 TENSOR PRODUCTS OF HILBERT SPACES
2.1 The algebraic tensor product 9
2.2 Hilbert tensor product of Hilbert spaces 11
2.3 Tensor products of linear operators 14
2.4 Functions of several commuting self adjoint operators 16
2.5 Solvability of a linear operator system 18
Notes and References 26
CHAPTER 3 MULTIPARAMETER SPECTRAL THEORY FOR BOUNDED OPERATORS
3.1 Introduction 28
3.2 Multiparameter spectral theory 30
3.3 Eigenvalues 34
3.4 The case of compact operators 37
Notes and References 41
CHAPTER 4 MULTIPARAMETER SPECTRAL THEORY FOR UNBOUNDED OPERATORS
(The right definite case)
4.1 Introduction 42
4.2 Commuting self adjoint operators 43
4.3 Multiparameter spectral theory 51
4.4 The Compact case 55
4.5 An application to ordinary differential equations 58
Notes and References 60
CHAPTER 5 MULTIPARAMETER SPECTRAL THEORY FOR UNBOUNDED OPERATORS
(The left definite case)
5.1 Introduction 62
5.2 An eigenvalue problem 64
5.3 The factorisation of W 66
IE
5.4 An application to ordinary differential equations 73
5.5 A comparison of the definiteness conditions 77
Notes and References 80
CHAPTER 6 AN ABSTRACT RELATION
6.1 Introduction 81
6.2 The problem 81
6.3 Some applications to ordinary differential equations 87
References 90
CHAPTER 7 COUPLED OPERATOR SYSTEMS
7.1 Introduction 91
7.2 Direct sums of Hilbert spaces 92
7.3 Reduction of strongly coupled systems 94
7.4 Spectral theory for weakly coupled systems 96
Notes and References 98
CHAPTER 8 SPECTRAL THEORY OF OPERATOR BUNDLES
8.1 Introduction 99
8.2 The Fundamental reformulation 101
8.3 Two parameter spectral theory 102
8.4 Concerning eigenvalues 104
8.5 The case of unbounded operators 106
8.6 An application to ordinary differential equations 108
Notes and References 109
CHAPTER 9 OPEN PROBLEMS
9.1 Solvability of linear operator systems 111
9.2 Multiparameter spectral theory for bounded operators 112
9.3 Multiparameter spectral theory for unbounded operators 113
9.4 The abstract relation 114
9.5 Applications 114
References 115
INDEX 116
|
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| indexdate | 2024-07-09T15:42:52Z |
| institution | BVB |
| isbn | 0273084143 |
| language | English |
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| physical | 118 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Pitman |
| record_format | marc |
| series | Research notes in mathematics |
| series2 | Research notes in mathematics |
| spelling | Sleeman, Brian D. Verfasser aut Multiparameter spectral theory in Hilbert space B. D. Sleeman 1. publ. London [u.a.] Pitman 1978 118 S. txt rdacontent n rdamedia nc rdacarrier Research notes in mathematics 22 Hilbert space Linear operators Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s DE-604 Spektraltheorie (DE-588)4116561-5 s Hilbert-Raum (DE-588)4159850-7 s Research notes in mathematics 22 (DE-604)BV000000039 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sleeman, Brian D. Multiparameter spectral theory in Hilbert space Research notes in mathematics Hilbert space Linear operators Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4116561-5 (DE-588)4075665-8 |
| title | Multiparameter spectral theory in Hilbert space |
| title_auth | Multiparameter spectral theory in Hilbert space |
| title_exact_search | Multiparameter spectral theory in Hilbert space |
| title_full | Multiparameter spectral theory in Hilbert space B. D. Sleeman |
| title_fullStr | Multiparameter spectral theory in Hilbert space B. D. Sleeman |
| title_full_unstemmed | Multiparameter spectral theory in Hilbert space B. D. Sleeman |
| title_short | Multiparameter spectral theory in Hilbert space |
| title_sort | multiparameter spectral theory in hilbert space |
| topic | Hilbert space Linear operators Spectral theory (Mathematics) Hilbert-Raum (DE-588)4159850-7 gnd Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Hilbert space Linear operators Spectral theory (Mathematics) Hilbert-Raum Spektraltheorie Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482517&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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