Linear operators in spaces with an indefinite metric:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester u.a.
Wiley
1989
|
| Series: | Pure and applied mathematics
A Wiley-Interscience publication |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. - Literaturverz. S. 286 - 300. - EST: Osnovy teorii lineynykh operatorov v prostranstvakh s indefinitnoy metrikoy <engl.> |
| Physical Description: | XI, 304 S. |
| ISBN: | 0471921297 |
Staff View
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| 245 | 1 | 0 | |a Linear operators in spaces with an indefinite metric |c T. Ya. Azizov ; I. S. Iokhvidov |
| 264 | 1 | |a Chichester u.a. |b Wiley |c 1989 | |
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Record in the Search Index
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| adam_text | CONTENTS
Preface vii
1 The geometry of spaces with an indefinite metric 1
§ 1 Linear spaces with an Hermitian form 1
§2 Krein spaces (axiomatics) 14
§3 Canonical projectors P± and canonical symmetry J 18
§4 Semi definite and definite lineals and subspaces in a Krein
space 24
§5 Uniformly definite (regular) lineals and subspaces. Subspaces
of the classes h± 30
§6 Decomposability of lineals and subspaces of a Krein space.
The Gram operator of a subspace. ^ spaces and G spaces 34
§7 / orthogonal complements and projections. Projectional com¬
pleteness 42
§8 The method of angular operators 48
§9 Pontryagin spaces 11*. W^ 0 spaces and GM spaces 64
§10 Dual pairs, / orthonormalized systems and bases 72
Remarks and bibliographical indications on Chapter 1 78
2 Fundamental classes of operators in spaces with an indefinite metric 84
§ 1 The adjoint operator Tc 84
§2 Dissipative operators 91
§3 Hermitian, symmetric, and self adjoint operators 104
§4 Plus operators, / non contractive and J bi non contractive
operators 117
§5 Isometric, semi unitary, and unitary operators 133
§6 The Cayley Neyman transformation 142
Remarks and bibliographical indications on Chapter 2 153
3 Invariant semi definite subspaces 158
§1 Statement of the problems 158
v
vi Contents
§2 Invariant subspaces of a / non contractive operator 167
§3 Fixed points of linear fractional transformations and invariant
subspaces 176
§4 Invariant subspaces of a family of operators 185
§5 Operators of the classes H and K(H) 193
Remarks and bibliographical indications on Chapter 3 207
4 Spectral topics and some applications 210
§1 The spectral function 210
§2 Completeness and basicity of a system of root vectors of J
dissipative operators 219
§3 Examples and applications 233
Remarks and bibliographical indications on Chapter 4 243
5 Theory of extensions of isometric and symmetric operators in
spaces with an indefinite metric 245
§ 1 Potapov Ginzburg linear fractional transformations and
extensions of operators 245
§2 Extensions of standard isometric and symmetric operators 252
§3 Generalized resolvents of symmetric operators 266
Remarks and bibliographical indications on Chapter 5 284
References 286
Note: The symbols ? and ¦ are used to mark the beginning and
end of some section complete in itself.
A reference in the text such as 2.§6.3 refers the reader to §6.3
of Chapter 2.
|
| any_adam_object | 1 |
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| author_GND | (DE-588)110559291X (DE-588)1068386843 |
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| author_role | aut aut |
| author_sort | Azizov, Tomas Jakovlevič |
| author_variant | t j a tj tja i s i is isi |
| building | Verbundindex |
| bvnumber | BV006575860 |
| classification_rvk | SK 620 |
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| ctrlnum | (OCoLC)246838656 (DE-599)BVBBV006575860 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006575860 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:48:34Z |
| institution | BVB |
| isbn | 0471921297 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004195693 |
| oclc_num | 246838656 |
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| physical | XI, 304 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Wiley |
| record_format | marc |
| series2 | Pure and applied mathematics A Wiley-Interscience publication |
| spelling | Azizov, Tomas Jakovlevič Verfasser (DE-588)110559291X aut Osnovy teorii linejnych operatorov v prostranstvach s indefinitnoj metrikoj Linear operators in spaces with an indefinite metric T. Ya. Azizov ; I. S. Iokhvidov Chichester u.a. Wiley 1989 XI, 304 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics A Wiley-Interscience publication Aus d. Russ. übers. - Literaturverz. S. 286 - 300. - EST: Osnovy teorii lineynykh operatorov v prostranstvakh s indefinitnoy metrikoy <engl.> Linearer Operator - Indefinite Metrik Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Linearer Operator (DE-588)4167721-3 s DE-604 Operatortheorie (DE-588)4075665-8 s Iochvidov, Iosif S. 1919-1984 Verfasser (DE-588)1068386843 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004195693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Azizov, Tomas Jakovlevič Iochvidov, Iosif S. 1919-1984 Linear operators in spaces with an indefinite metric Linearer Operator - Indefinite Metrik Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4159850-7 (DE-588)4167721-3 (DE-588)4075665-8 |
| title | Linear operators in spaces with an indefinite metric |
| title_alt | Osnovy teorii linejnych operatorov v prostranstvach s indefinitnoj metrikoj |
| title_auth | Linear operators in spaces with an indefinite metric |
| title_exact_search | Linear operators in spaces with an indefinite metric |
| title_full | Linear operators in spaces with an indefinite metric T. Ya. Azizov ; I. S. Iokhvidov |
| title_fullStr | Linear operators in spaces with an indefinite metric T. Ya. Azizov ; I. S. Iokhvidov |
| title_full_unstemmed | Linear operators in spaces with an indefinite metric T. Ya. Azizov ; I. S. Iokhvidov |
| title_short | Linear operators in spaces with an indefinite metric |
| title_sort | linear operators in spaces with an indefinite metric |
| topic | Linearer Operator - Indefinite Metrik Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Linearer Operator - Indefinite Metrik Hilbert-Raum Linearer Operator Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004195693&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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