Introduction to the spectral theory of operators in spaces with an indefinite metric:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akademie-Verl.
1982
|
| Series: | Mathematical research
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 120 S. |
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MARC
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| 245 | 1 | 0 | |a Introduction to the spectral theory of operators in spaces with an indefinite metric |c by I. S. Iohvidov ; M. G. Krein ; H. Langer |
| 264 | 1 | |a Berlin |b Akademie-Verl. |c 1982 | |
| 300 | |a 120 S. | ||
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Record in the Search Index
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| adam_text | TABLE OP CONTENTS
INTRODUCTION 7
CHAPTER I. Linear spaces 11,, with idefinlte metric
§ 1. Axiomatios of the spaces n, 9
§ 2. Topological properties of the spaces n 15
§ 3. Linear manifolds with degenerate and nondegenerate scalar .
products 21
§ 4. Coordinate description of a separable space n 27
IT.
CHAPTER II. Isometric and Hermitian operators in a space H
H
§ 5. Linear functionals inn,,. The adjoint operator 32
§ 6. Some classes of linear operators in n JA
34
§ 7. Root manifolds and elementary divisors of isometric operators
ittIIH 48
§ 8. The connection between Hermitian and isometric operators
(Cayley transformation) 56
§ 9. Extensions of isometric and Hermitian operators 67
CHAPTER III. Invariant subspaces of linear operators in n
§ 10. Preliminary observations 72
§ 11. Invariant semidefinite subspaces of expansive, contractive
and dissipative operators in n^ 75
Historical Notes to § 11 97
§ 12. Invariant semidefinite subspaces of unitary and selfadjoint
ope tators inn 99
SUPPLEMENT. The general form of unitary and semi unitary operators
in a space IIH 112
BIBLIOGRAPHY 115
|
| any_adam_object | 1 |
| author | Iochvidov, Iosif S. Krejn, Mark G. 1907-1989 Langer, H. |
| author_GND | (DE-588)118841319 |
| author_facet | Iochvidov, Iosif S. Krejn, Mark G. 1907-1989 Langer, H. |
| author_role | aut aut aut |
| author_sort | Iochvidov, Iosif S. |
| author_variant | i s i is isi m g k mg mgk h l hl |
| building | Verbundindex |
| bvnumber | BV006104206 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)256892564 (DE-599)BVBBV006104206 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006104206 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:40:21Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003855802 |
| oclc_num | 256892564 |
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| physical | 120 S. |
| psigel | TUB-www |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Akademie-Verl. |
| record_format | marc |
| series | Mathematical research |
| series2 | Mathematical research |
| spelling | Iochvidov, Iosif S. Verfasser aut Introduction to the spectral theory of operators in spaces with an indefinite metric by I. S. Iohvidov ; M. G. Krein ; H. Langer Berlin Akademie-Verl. 1982 120 S. txt rdacontent n rdamedia nc rdacarrier Mathematical research 9 Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Indefinite Metrik (DE-588)4310007-7 gnd rswk-swf Operator (DE-588)4130529-2 s Indefinite Metrik (DE-588)4310007-7 s Spektraltheorie (DE-588)4116561-5 s DE-604 Operatortheorie (DE-588)4075665-8 s Krejn, Mark G. 1907-1989 Verfasser (DE-588)118841319 aut Langer, H. Verfasser aut Mathematical research 9 (DE-604)BV000008585 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003855802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Iochvidov, Iosif S. Krejn, Mark G. 1907-1989 Langer, H. Introduction to the spectral theory of operators in spaces with an indefinite metric Mathematical research Operatortheorie (DE-588)4075665-8 gnd Operator (DE-588)4130529-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Indefinite Metrik (DE-588)4310007-7 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4130529-2 (DE-588)4116561-5 (DE-588)4310007-7 |
| title | Introduction to the spectral theory of operators in spaces with an indefinite metric |
| title_auth | Introduction to the spectral theory of operators in spaces with an indefinite metric |
| title_exact_search | Introduction to the spectral theory of operators in spaces with an indefinite metric |
| title_full | Introduction to the spectral theory of operators in spaces with an indefinite metric by I. S. Iohvidov ; M. G. Krein ; H. Langer |
| title_fullStr | Introduction to the spectral theory of operators in spaces with an indefinite metric by I. S. Iohvidov ; M. G. Krein ; H. Langer |
| title_full_unstemmed | Introduction to the spectral theory of operators in spaces with an indefinite metric by I. S. Iohvidov ; M. G. Krein ; H. Langer |
| title_short | Introduction to the spectral theory of operators in spaces with an indefinite metric |
| title_sort | introduction to the spectral theory of operators in spaces with an indefinite metric |
| topic | Operatortheorie (DE-588)4075665-8 gnd Operator (DE-588)4130529-2 gnd Spektraltheorie (DE-588)4116561-5 gnd Indefinite Metrik (DE-588)4310007-7 gnd |
| topic_facet | Operatortheorie Operator Spektraltheorie Indefinite Metrik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003855802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008585 |
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