Unbounded linear operators: theory and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
McGraw-Hill
1966
|
| Schriftenreihe: | McGraw-Hill series in higher mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 199 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Unbounded linear operators |b theory and applications |c Seymour Goldberg |
| 264 | 1 | |a New York u.a. |b McGraw-Hill |c 1966 | |
| 300 | |a VIII, 199 S. | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a McGraw-Hill series in higher mathematics | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
Preface v
Preliminaries 1
I INTRODUCTION TO NORMED LINEAR SPACES 4
1. Examples of normed linear spaces 4
2. Complete normed linear spaces 6
3. Bounded linear operators 10
4 Finite dimensional normed linear spaces 13
5. Hahn Banach extension theorem 16
6. Conjugate spaces 24
7. Hilbert spaces 31
II LINEAR OPERATORS AND THEIR CONJUGATES 42
1. Closed linear operators 43
2. Conjugate of a linear operator 49
3. States of linear operators 58
4 States of closed linear operators 62
5. Examples of states 66
6. Characterizations of states of operators 72
7. Adjoint of an operator in Hilbert space 74
III STRICTLY SINGULAR OPERATORS 76
1. Compact operators 76
2. Relationship between strictly singular and compact operators 83
3. Examples of noncompact, strictly singular operators 88
4 Conjugates of strictly singular operators 92
IV OPERATORS WITH CLOSED RANGE 94
1. Minimum modulus of an operator 94
2. Index of a linear operator 101
vlll CONTENTS
V PERTURBATION THEORY 109
1. Perturbation by bounded operators 110
2. Perturbation by strictly singular operators 117
3. Perturbation by unbounded operators 121
VI APPLICATIONS TO ORDINARY DIFFERENTIAL OPERATORS 125
1. Conjugates and preconjugates of differential operators 126
2. Minimal and maximal operators 135
3. Maximal operators corresponding to compact intervals lJfi
4 Extension theorems 148
5. Boundary value functionals 153
6. Some a priori estimates 157
7. The constant coefficient and the Euler differential operators 162
8. Perturbations of the bounded coefficient and the Euler
operators 166
VII THE DIRICHLET OPERATOR 179
1. The Sobolev space Wm *( ) 179
2. A priori estimates and differential operators 184
Bibliography 191
Index 197
|
| any_adam_object | 1 |
| author | Goldberg, Seymour 1928- |
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| bvnumber | BV002741757 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)263110966 (DE-599)BVBBV002741757 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002741757 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:48:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001753010 |
| oclc_num | 263110966 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-824 DE-29T DE-20 DE-19 DE-BY-UBM DE-706 DE-11 DE-188 |
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| physical | VIII, 199 S. |
| psigel | HUB-ZB011200906 |
| publishDate | 1966 |
| publishDateSearch | 1966 |
| publishDateSort | 1966 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill series in higher mathematics |
| spelling | Goldberg, Seymour 1928- Verfasser (DE-588)128510900 aut Unbounded linear operators theory and applications Seymour Goldberg New York u.a. McGraw-Hill 1966 VIII, 199 S. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in higher mathematics Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s DE-604 Funktionalanalysis (DE-588)4018916-8 s Operatortheorie (DE-588)4075665-8 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753010&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goldberg, Seymour 1928- Unbounded linear operators theory and applications Funktionalanalysis (DE-588)4018916-8 gnd Linearer Operator (DE-588)4167721-3 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4167721-3 (DE-588)4075665-8 |
| title | Unbounded linear operators theory and applications |
| title_auth | Unbounded linear operators theory and applications |
| title_exact_search | Unbounded linear operators theory and applications |
| title_full | Unbounded linear operators theory and applications Seymour Goldberg |
| title_fullStr | Unbounded linear operators theory and applications Seymour Goldberg |
| title_full_unstemmed | Unbounded linear operators theory and applications Seymour Goldberg |
| title_short | Unbounded linear operators |
| title_sort | unbounded linear operators theory and applications |
| title_sub | theory and applications |
| topic | Funktionalanalysis (DE-588)4018916-8 gnd Linearer Operator (DE-588)4167721-3 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Funktionalanalysis Linearer Operator Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001753010&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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