Spectral decompositions and analytic sheaves:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Clarendon Press
1996
|
| Series: | London Mathematical Society: London Mathematical Society monographs / New series
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 362 S. graph. Darst. |
| ISBN: | 0198536674 |
Staff View
MARC
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| 245 | 1 | 0 | |a Spectral decompositions and analytic sheaves |c Jörg Eschmeier ; Mihai Putinar |
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Record in the Search Index
| _version_ | 1804125264884531200 |
|---|---|
| adam_text | Contents
1. Review of spectral theory 1
1.1 Classical spectral theories 1
1.2 Local spectral theory 5
1.3 Multivariable spectral theory 10
1.4 Summary of the applications contained in the book 16
1.5 References and comments 18
2. Analytic functional calculus via integral representations 21
2.1 Parametrized complexes 23
2.2 The Koszul complex 30
2.3 Cauchy Weil systems 35
2.4 The Cauchy Weil integral 42
2.5 Joint spectrum and analytic functional calculus 51
2.6 Analytic spectral mapping theorems for joint spectra 60
2.7 References and comments 71
3. Topological homology 73
3.1 Tensor products relative to a Frechet algebra 74
3.2 Inverse limits 83
3.3 Direct limits and duality 91
3.4 Abstract derived functors 95
3.5 References and comments 96
4. Analytic sheaves 98
4.1 Stein spaces and Stein algebras 98
4.2 Analytic transversality 103
4.3 Quasi coherent analytic sheaves 109
4.4 Frechet analytic soft sheaves 115
4.5 Banach coherent analytic Frechet sheaves 123
4.6 References and comments 131
5. Frechet modules over Stein algebras 133
5.1 Spectra of analytic Frechet modules 134
5.2 Spectral mapping theorem 139
5.3 References and comments 145
x Contents
6. Bishop s condition (p) and invariant subspaces 146
6.1 Spectral decompositions and duality 147
6.2 Bishop s condition (/3) and decomposable resolutions 164
6.3 Essentially decomposable systems 172
6.4 Condition (/3 )r and smooth resolutions 176
6.5 Invariant subspaces 193
6.6 References and comments 202
7. Applications to function theory 205
7.1 Division lemmas 205
7.2 Ideals of differentiate functions 210
7.3 The maximal ideal space of certain algebras of analytic functions 215
7.4 A pseudoconvexity criterion 224
7.5 References and comments 226
8. Spectral analysis on Bergman spaces 228
8.1 The Gleason problem 228
8.2 Toeplitz operators with // symbol 236
8.3 Analytically invariant subspaces 244
8.4 Rigidity of Bergman submodules 252
8.5 References and comments 255
9. Finiteness theorems in analytic geometry 257
9.1 The Cartan Serre theorem 257
9.2 Relative nuclearity and perturbation lemmas 258
9.3 Grauert s direct image theorem 264
9.4 Semicontinuity theorems 268
9.5 References and comments 275
10. Multidimensional index theory 276
10.1 Fredholm complexes 277
10.2 Essential Fredholm complexes 283
10.3 Index theory of commutative tuples of operators 288
10.4 Riemann Roch theorem on complex spaces 305
10.5 References and comments 315
Appendix 1. Locally convex spaces 317
Appendix 2. Homological algebra 329
Appendix 3. X theory and Riemann Roch theorems 336
Appendix 4. Sobolev spaces 341
Bibliography 345
Index 357
|
| any_adam_object | 1 |
| author | Eschmeier, Jörg 1956-2021 Putinar, Mihai 1955- |
| author_GND | (DE-588)109831349 (DE-588)112636772 |
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| ctrlnum | (OCoLC)246854453 (DE-599)BVBBV010782689 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010782689 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:48Z |
| institution | BVB |
| isbn | 0198536674 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007201884 |
| oclc_num | 246854453 |
| open_access_boolean | |
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| physical | X, 362 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | London Mathematical Society: London Mathematical Society monographs / New series |
| spelling | Eschmeier, Jörg 1956-2021 Verfasser (DE-588)109831349 aut Spectral decompositions and analytic sheaves Jörg Eschmeier ; Mihai Putinar Oxford [u.a.] Clarendon Press 1996 X, 362 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society monographs / New series 10 Analytische Garbe (DE-588)4142349-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 s Analytische Garbe (DE-588)4142349-5 s DE-604 Operatortheorie (DE-588)4075665-8 s Spektraltheorie (DE-588)4116561-5 s Putinar, Mihai 1955- Verfasser (DE-588)112636772 aut New series London Mathematical Society: London Mathematical Society monographs 10 (DE-604)BV045355493 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007201884&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eschmeier, Jörg 1956-2021 Putinar, Mihai 1955- Spectral decompositions and analytic sheaves Analytische Garbe (DE-588)4142349-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4142349-5 (DE-588)4116561-5 (DE-588)4190746-2 (DE-588)4075665-8 |
| title | Spectral decompositions and analytic sheaves |
| title_auth | Spectral decompositions and analytic sheaves |
| title_exact_search | Spectral decompositions and analytic sheaves |
| title_full | Spectral decompositions and analytic sheaves Jörg Eschmeier ; Mihai Putinar |
| title_fullStr | Spectral decompositions and analytic sheaves Jörg Eschmeier ; Mihai Putinar |
| title_full_unstemmed | Spectral decompositions and analytic sheaves Jörg Eschmeier ; Mihai Putinar |
| title_short | Spectral decompositions and analytic sheaves |
| title_sort | spectral decompositions and analytic sheaves |
| topic | Analytische Garbe (DE-588)4142349-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Analytische Garbe Spektraltheorie Zerlegung Mathematik Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007201884&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV045355493 |
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