Strongly irreducible operators on Hilbert Space:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1998
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
389 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 243 S. |
| ISBN: | 0582305942 |
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MARC
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| 245 | 1 | 0 | |a Strongly irreducible operators on Hilbert Space |c Chunlan Jiang ; Zongyao Wang |
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| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 4 | |a Opérateur fortement irréductible | |
| 650 | 4 | |a Perturbation compacte | |
| 650 | 7 | |a Sobolev, Espaces de |2 ram | |
| 650 | 4 | |a Théorème décomposition Jordan | |
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Record in the Search Index
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| adam_text | CHUNLAN JIANG HE BEI UNIVERSITY OF TECHNOLOGY ZONGYAO WANG EAST CHINA
UNIVERSITY OF SCIENCE AND TECHNOLOGY STRONGLY IRREDUCIBIE OPERATORS ON
HUBERT SPACE LONGMAN CONTENTS PREFACE 0. BACKGROUND 1 0.1 BANACH
ALGEBRAS 1 0.2 COMPACT OPERATORS AND THE COMPACT PERTURBATIONS OF
OPERATORS 3 0.3 TOEPLITZ OPERATORS 7 0.4 NEST ALGEBRAS 9 0.5 THE SOBOLEV
SPACE W 2 - UE) 10 1. THE MAIN TOOLS 12 1.1 THE ROSENBLUM OPERATOR: X I-
AX - XB 12 1.2 APOSTOL S TRIANGULAER REPRESENTATION 21 1.3 CORRECTION BY
COMPACT PERTURBATION OF THE SINGULAR BEHAVIOUR OF OPERATORS 28 1.4 THE
COMPACT PERTURBATIONS OF OPERATORS AND THEIR NORMAL RESTRICTIONS 35 1.5
SOME RESULTS ON COWEN-DOUGLAS OPERATORS 40 1.6 SIMILARITY ORBIT THEOREM
50 1.7 REMARKS 51 2. THE IRREDUCIBILITY AND STRONG IRREDUCIBILITY OF
OPERATORS 53 2.1 IRREDUCIBLE OPERATORS 53 2.2 THE SIMILARITY OF
IRREDUCIBLE OPERATORS 57 2.3 STRONGLY IRREDUCIBLE OPERATORS AND EXAMPLES
67 2.4 THE BASIC PROPERTIES OF STRONGLY IRREDUCIBLE OPERATORS 74 2.5
OPEN PROBLEMS 78 2.6 REMARKS 78 3. THE STRONGLY IRREDUCIBLE OPERATOR IN
SOME CLASSES OF OPERATORS 80 3.1 THE MULTIPLICATION OPERATORS ON SOBOLEV
SPACES 81 3.2 THE STRONGLY IRREDUCIBLE OPERATORS IN COWEN-DOUGLAS
OPERATORS 92 3.3 THE STRONGLY IRREDUCIBLE OPERATORS IN THE CLASS OF
ESSENTIALLY NORMAL OPERATORS 103 3.4 THE NORM-CLOSURE OF STRONGLY
IRREDUCIBLE OPERATORS AND THE STRONGLY IRREDUCIBLE OPERATORS IN SOME
OTHER CLASSES OF OPERATORS 110 3.5 OPEN PROBLEMS 118 3.6 REMARKS 118 4.
THE SPECTRAL PICTURES OF STRONGLY IRREDUCIBLE OPERATORS AND THE
APPROXIMATE JORDAN DECOMPOSITION THEOREM 119 4.1 THE CLOSURE OF THE
DIRECT SUMS OF (SI) OPERATORS 119 4.2 THE UNIQUENESS OF THE STRONGLY
IRREDUCIBLE DECOMPOSITIONS OF OPERATORS 130 4.3 THE SPECTRAL PICTURE OF
(SI) OPERATORS 135 4.4 OPEN PROBLEMS 143 4.5 REMARKS 143 5. COMPACT
PERTURBATIONS OF STRONGLY IRREDUCIBLE OPERATORS 144 5.1 (U + /C)-ORBITS
AND COMPACT PERTURBATIONS 144 5.2 ESSENTIALLY NORMAL + COMPACT =
STRONGLY IRREDUCIBLE 157 5.3 BIQUASITRIANGULAR + SMALL COMPACT =
STRONGLY IRREDUCIBLE 174 5.4 HYPONORMAL + COMPACT = STRONGLY IRREDUCIBLE
185 5.5 SOME COWEN-DOUGLAS OPERATOR + COMPACT = STRONGLY IRREDUCIBLE
.... 191 5.6 OPEN PROBLEMS 195 5.7 REMARKS 196 6. STRONGLY IRREDUCIBLE
OPERATORS IN NEST ALGEBRAS 197 6.1 THE U(ALGAF D (SI)) OF WELL-ORDERED
NESTS 197 6.2 THE W(ALG AT D (SI))~ OF CONTINUOUS NESTS 202 6.3 THE
W(ALG M D (SI))~ OF NON-WELL-ORDERED NESTS 206 6.4 OPEN PROBLEMS 218 6.5
REMARKS 218 7. SOME OTHER RESULTS ABOUT STRONGLY IRREDUCIBLE OPERATORS
219 7.1 THE SUMS OF STRONGLY IRREDUCIBLE OPERATORS 219 7.2 SOME
APPLICATIONS OF STRONGLY IRREDUCIBLE OPERATORS 228 7.3 OPEN PROBLEMS 233
7.4 REMARKS 234 235
|
| any_adam_object | 1 |
| author | Jiang, Chunlan Wang, Zongyao |
| author_facet | Jiang, Chunlan Wang, Zongyao |
| author_role | aut aut |
| author_sort | Jiang, Chunlan |
| author_variant | c j cj z w zw |
| building | Verbundindex |
| bvnumber | BV017403946 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329.2 |
| callnumber-search | QA329.2 |
| callnumber-sort | QA 3329.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 620 |
| ctrlnum | (OCoLC)39181743 (DE-599)BVBBV017403946 |
| dewey-full | 515.733 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.733 |
| dewey-search | 515.733 |
| dewey-sort | 3515.733 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV017403946 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:37Z |
| institution | BVB |
| isbn | 0582305942 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010488026 |
| oclc_num | 39181743 |
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| owner | DE-824 DE-11 |
| owner_facet | DE-824 DE-11 |
| physical | 243 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Jiang, Chunlan Verfasser aut Strongly irreducible operators on Hilbert Space Chunlan Jiang ; Zongyao Wang 1. publ. Harlow Longman 1998 243 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 389 Hilbert, espaces d' ram Hilbertruimten gtt Operatortheorie gtt Opérateur fortement irréductible Perturbation compacte Sobolev, Espaces de ram Théorème décomposition Jordan Toeplitz, Opérateurs de ram Hilbert space Nonselfadjoint operators Operatortheorie (DE-588)4075665-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Operatortheorie (DE-588)4075665-8 s DE-604 Wang, Zongyao Verfasser aut Pitman research notes in mathematics series 389 (DE-604)BV000022845 389 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010488026&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jiang, Chunlan Wang, Zongyao Strongly irreducible operators on Hilbert Space Pitman research notes in mathematics series Hilbert, espaces d' ram Hilbertruimten gtt Operatortheorie gtt Opérateur fortement irréductible Perturbation compacte Sobolev, Espaces de ram Théorème décomposition Jordan Toeplitz, Opérateurs de ram Hilbert space Nonselfadjoint operators Operatortheorie (DE-588)4075665-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4159850-7 |
| title | Strongly irreducible operators on Hilbert Space |
| title_auth | Strongly irreducible operators on Hilbert Space |
| title_exact_search | Strongly irreducible operators on Hilbert Space |
| title_full | Strongly irreducible operators on Hilbert Space Chunlan Jiang ; Zongyao Wang |
| title_fullStr | Strongly irreducible operators on Hilbert Space Chunlan Jiang ; Zongyao Wang |
| title_full_unstemmed | Strongly irreducible operators on Hilbert Space Chunlan Jiang ; Zongyao Wang |
| title_short | Strongly irreducible operators on Hilbert Space |
| title_sort | strongly irreducible operators on hilbert space |
| topic | Hilbert, espaces d' ram Hilbertruimten gtt Operatortheorie gtt Opérateur fortement irréductible Perturbation compacte Sobolev, Espaces de ram Théorème décomposition Jordan Toeplitz, Opérateurs de ram Hilbert space Nonselfadjoint operators Operatortheorie (DE-588)4075665-8 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Hilbert, espaces d' Hilbertruimten Operatortheorie Opérateur fortement irréductible Perturbation compacte Sobolev, Espaces de Théorème décomposition Jordan Toeplitz, Opérateurs de Hilbert space Nonselfadjoint operators Hilbert-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010488026&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT jiangchunlan stronglyirreducibleoperatorsonhilbertspace AT wangzongyao stronglyirreducibleoperatorsonhilbertspace |