Linear transformations in Hilbert space and their applications to analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
American Math. Soc.
1964
|
| Edition: | 6. print. |
| Series: | Colloquium publications / American Mathematical Society
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 622 S. |
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MARC
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Record in the Search Index
| _version_ | 1804117116378415104 |
|---|---|
| adam_text | AMERICAN MATHEMATICAL SOCIETY COLLOQUIUM PUBLICATIONS, VOLUME XV LINEAR
TRANSFORMATIONS IN HILBERT SPACE AND THEIR APPLICATIONS TO ANALYSIS BY
MARSHALL HARVEY STONE ASSOCIATE PROFESSOR IN YALE UNIVERSITY NEW YORK
PUBLISHED BY THE AMERICAN MATHEMATICAL SOCIETY CONTENTS PAGE CHAPTER I
ABSTRACT HILBERT SPACE AND ITS REALIZATIONS § 1. THE CONCEPT OF SPACE 1
§ 2. ABSTRACT HILBERT SPACE 2 § 3. ABSTRACT UNITARY SPACES 16 § 4.
LINEAR MANIFOLDS IN HILBERT SPACE -. 18 § 5. REALIZATIONS OF ABSTRACT
HILBERT SPACE 23 CHAPTER II TRANSFORMATIONS IN HILBERT SPACE § 1. LINEAR
TRANSFORMATIONS 33 § 2. SYMMETRIC TRANSFORMATIONS 49 § 3. BOUNDED LINEAR
TRANSFORMATIONS 53 § 4. PROJECTIONS 70 § 5. ISOMETRIC AND UNITARY
TRANSFORMATIONS. 76 § 6. UNITARY INVARIANCE 83 CHAPTER III EXAMPLES OP
LINEAR TRANSFORMATIONS § 1. INFINITE MATRICES 86 § 2. INTEGRAL OPERATORS
98 § 3. DIFFERENTIAL OPERATORS 112 § 4. OPERATORS OF OTHER TYPES 124
CHAPTER IV RESOLVENTS, SPECTRA, REDUCIBILITY § 1. THE FUNDAMENTAL
PROBLEMS.. . .. * 125 § 2. RESOLVENTS AND SPECTRA 128 § 3. REDUCIBILITY
150 CHAPTER V SELF-ADJOINT TRANSFORMATIONS § 1. ANALYTICAL METHODS 155 §
2. ANALYTICAL REPRESENTATION OF THE RESOLVENT 165 § 3. THE REDUCIBILITY
OF THE RESOLVENT 172 VII YIII CONTENTS PAGE § 4. THE ANALYTICAL
REPRESENTATION OF A SELF-ADJOINT TRANSFORMATION.. 180 § 5. THE SPECTRUM
OF A SELF-ADJOINT TRANSFORMATION .. 184 CHAPTER VI THE OPERATIONAL
CALCULUS § 1. THE RADON-STIELTJES INTEGRAL 198 § 2. THE OPERATIONAL
CALCULUS 221 CHAPTER VII THE UNITARY EQUIVALENCE OF SELF-ADJOINT
TRANSFORMATIONS § 1. PREPARATORY THEOREMS 242 § 2. UNITARY EQUIVALENCE
247 § 3. SELF-ADJOINT TRANSFORMATIONS WITH SIMPLE SPECTRA 275 § 4. THE
REDUCIBILITY OF SELF-ADJOINT TRANSFORMATIONS . 288 § 5. REDUCTION TO
PRINCIPAL AXES 294 CHAPTER VIII GENERAL TYPES OF LINEAR TRANSFORMATIONS
§ 1. PERMUTABILITY 299 § 2. UNITARY TRANSFORMATIONS 302 § 3. NORMAL
TRANSFORMATIONS 311 § 4. A THEOREM ON FACTORIZATION. . 331 CHAPTER IX
SYMMETRIC TRANSFORMATIONS § 1. THE GENERAL THEORY 334 § 2. REAL
TRANSFORMATIONS , 357 § 3. APPROXIMATION THEOREMS 365 CHAPTER X
APPLICATIONS § 1. INTEGRAL OPERATORS * 397 § 2. ORDINARY DIFFERENTIAL
OPERATORS OF THE FIRST ORDER 424 § 3. ORDINARY DIFFERENTIAL OPERATORS OF
THE SECOND ORDER 448 § 4. JACOBI MATRICES AND ALLIED TOPICS 530 INDEX
615
|
| any_adam_object | 1 |
| author | Stone, Marshall H. 1903-1989 |
| author_GND | (DE-588)118799037 |
| author_facet | Stone, Marshall H. 1903-1989 |
| author_role | aut |
| author_sort | Stone, Marshall H. 1903-1989 |
| author_variant | m h s mh mhs |
| building | Verbundindex |
| bvnumber | BV002765095 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)256815561 (DE-599)BVBBV002765095 |
| discipline | Mathematik |
| edition | 6. print. |
| format | Book |
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| id | DE-604.BV002765095 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:49:17Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001766818 |
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| physical | VIII, 622 S. |
| publishDate | 1964 |
| publishDateSearch | 1964 |
| publishDateSort | 1964 |
| publisher | American Math. Soc. |
| record_format | marc |
| series2 | Colloquium publications / American Mathematical Society |
| spelling | Stone, Marshall H. 1903-1989 Verfasser (DE-588)118799037 aut Linear transformations in Hilbert space and their applications to analysis by Marshall Harvey Stone 6. print. New York American Math. Soc. 1964 VIII, 622 S. txt rdacontent n rdamedia nc rdacarrier Colloquium publications / American Mathematical Society 15 Hilbert-Raum swd Lineare Transformation swd Lineare Transformation (DE-588)4167712-2 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Linearer Operator (DE-588)4167721-3 s DE-604 Lineare Transformation (DE-588)4167712-2 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 American Mathematical Society Colloquium publications 15 (DE-604)BV035417609 15 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001766818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stone, Marshall H. 1903-1989 Linear transformations in Hilbert space and their applications to analysis Hilbert-Raum swd Lineare Transformation swd Lineare Transformation (DE-588)4167712-2 gnd Linearer Operator (DE-588)4167721-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4167712-2 (DE-588)4167721-3 (DE-588)4159850-7 (DE-588)4018916-8 |
| title | Linear transformations in Hilbert space and their applications to analysis |
| title_auth | Linear transformations in Hilbert space and their applications to analysis |
| title_exact_search | Linear transformations in Hilbert space and their applications to analysis |
| title_full | Linear transformations in Hilbert space and their applications to analysis by Marshall Harvey Stone |
| title_fullStr | Linear transformations in Hilbert space and their applications to analysis by Marshall Harvey Stone |
| title_full_unstemmed | Linear transformations in Hilbert space and their applications to analysis by Marshall Harvey Stone |
| title_short | Linear transformations in Hilbert space and their applications to analysis |
| title_sort | linear transformations in hilbert space and their applications to analysis |
| topic | Hilbert-Raum swd Lineare Transformation swd Lineare Transformation (DE-588)4167712-2 gnd Linearer Operator (DE-588)4167721-3 gnd Hilbert-Raum (DE-588)4159850-7 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Hilbert-Raum Lineare Transformation Linearer Operator Funktionalanalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001766818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035417609 |
| work_keys_str_mv | AT stonemarshallh lineartransformationsinhilbertspaceandtheirapplicationstoanalysis |