Real and functional analysis: B Functional analysis
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Plenum Press
1986
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| Edition: | 2. ed. |
| Series: | Mathematical concepts and methods in science and engineering
28 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 277 S. |
| ISBN: | 0306415585 |
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Record in the Search Index
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| adam_text | Titel: Bd. B. Real and functional analysis. Functional analysis
Autor: Mukherjea, Arunava
Jahr: 1986
Contents 6. Banach Spaces........................ 1 6.1. Basic Concepts and Definitions............... 2 6.2. Bounded Linear Functionals and the Hahn-Banach Theorem . . 14 6.3. The Open Mapping Theorem, the Closed Graph Theorem, and the Principle of Uniform Boundedness ........... 33 6.4. Reflexive Banach Spaces and the Weak Topology....... 48 6.5. Compact Operators and Spectral Notions.......... 70 6.6. Topological Vector Spaces................. 93 6.7. The Kakutani Fixed Point Theorem and the Flaar Measure on a Compact Group..................... Ill 7. Hilbert Spaces........................121 7.1. The Geometry of Hilbert Space .............. 122 7.2. Subspaces, Bases, and Characterizations of Hilbert Spaces ... 131 7.3. The Dual Space and Adjoint Operators........... 142 7.4. The Algebra of Operators. The Spectral Theorem and the Approximation Theorem for Compact Operators....... 152 7.5. Spectral Decomposition of Self-Adjoint Operators...... 177 8. Spectral Theory.......................195 8.1. Spectral Theory for Bounded Operators Revisited ......195 8.2. Unbounded Operators and Spectral Theorems for Unbounded Self-Adjoint Operators ..................219 Appendix ............................255 C. Invariant and Hyperinvariant Subspaces...........255 vii
Contents viii Bibliography.......................... 265 Definition, Theorem, Proposition, Lemma, and Corollary Index 269 Symbol and Notation Index.................. 271 Subject Index.......................... 273 Errata for Part A.......................277
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| author | Mukherjea, Arunava Pothoven, K. |
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| id | DE-604.BV009522535 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:36:27Z |
| institution | BVB |
| isbn | 0306415585 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006287695 |
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| owner_facet | DE-91G DE-BY-TUM DE-11 DE-188 |
| physical | VIII, 277 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Plenum Press |
| record_format | marc |
| series | Mathematical concepts and methods in science and engineering |
| series2 | Mathematical concepts and methods in science and engineering |
| spelling | Mukherjea, Arunava Verfasser aut Real and functional analysis B Functional analysis Arunava Mukherjea ; K. Pothoven 2. ed. New York u.a. Plenum Press 1986 VIII, 277 S. txt rdacontent n rdamedia nc rdacarrier Mathematical concepts and methods in science and engineering 28 Mathematical concepts and methods in science and engineering ... Analysis (DE-588)4001865-9 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s DE-604 Analysis (DE-588)4001865-9 s Pothoven, K. Verfasser aut (DE-604)BV002367002 B Mathematical concepts and methods in science and engineering 28 (DE-604)BV000001144 28 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006287695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mukherjea, Arunava Pothoven, K. Real and functional analysis Mathematical concepts and methods in science and engineering Analysis (DE-588)4001865-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4018916-8 |
| title | Real and functional analysis |
| title_auth | Real and functional analysis |
| title_exact_search | Real and functional analysis |
| title_full | Real and functional analysis B Functional analysis Arunava Mukherjea ; K. Pothoven |
| title_fullStr | Real and functional analysis B Functional analysis Arunava Mukherjea ; K. Pothoven |
| title_full_unstemmed | Real and functional analysis B Functional analysis Arunava Mukherjea ; K. Pothoven |
| title_short | Real and functional analysis |
| title_sort | real and functional analysis functional analysis |
| topic | Analysis (DE-588)4001865-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Analysis Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006287695&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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