Exercises in functional analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2003
|
| Ausgabe: | 1. ed. |
| Schriftenreihe: | Kluwer texts in the mathematical sciences
26 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 451 S. |
| ISBN: | 1402015607 9781402015601 9789048163991 |
Internformat
MARC
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| 245 | 1 | 0 | |a Exercises in functional analysis |c by Constantin Costara and Dumitru Popa |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 2003 | |
| 300 | |a X, 451 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Kluwer texts in the mathematical sciences |v 26 | |
| 650 | 4 | |a Analyse fonctionnelle - Problèmes et exercices | |
| 650 | 4 | |a Functional analysis |v Problems, exercises, etc | |
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Datensatz im Suchindex
| _version_ | 1804130226952732672 |
|---|---|
| adam_text | Contents
Preface vii
Some Standard Notations and Conventions ix
Part I: Normed spaces 1
Chapter 1. Open, closed, and bounded sets in normed spaces 3
1.1 Exercises 4
1.2 Solutions 11
Chapter 2. Linear and continuous operators on normed spaces 36
2.1 Exercises 37
2.2 Solutions 42
Chapter 3. Linear and continuous functionals. Reflexive spaces 68
3.1 Exercises 68
3.2 Solutions 72
Chapter 4. The distance between sets in Banach spaces 86
4.1 Exercises 86
4.2 Solutions 92
Chapter 5. Compactness in Banach spaces. Compact operators 107
5.1 Exercises 108
5.2 Solutions 115
Chapter 6. The Uniform Boundedness Principle 147
6.1 Exercises 147
6.2 Solutions 155
Chapter 7. The Hahn Banach theorem 175
7.1 Exercises 175
7.2 Solutions 180
Chapter 8. Applications for the Hahn Banach theorem 195
8.1 Exercises 196
8.2 Solutions 199
vi CONTENTS
Chapter 9. Baire s category. The open mapping and closed graph theorems . . . 213
9.1 Exercises 214
9.2 Solutions 220
Part II: Hilbert spaces 241
Chapter 10. Hilbert spaces, general theory 243
10.1 Exercises 245
10.2 Solutions 250
Chapter 11. The projection in Hilbert spaces 271
11.1 Exercises 271
11.2 Solutions 281
Chapter 12. Linear and continuous operators on Hilbert spaces 305
12.1 Exercises 306
12.2 Solutions 318
Part III: General topological spaces 366
Chapter 13. Linear topological and locally convex spaces 368
13.1 Exercises 369
13.2 Solutions 377
Chapter 14. The weak topologies 403
14.1 Exercises 405
14.2 Solutions 412
Bibliography 444
List of Symbols 447
Index 449
|
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| author | Costara, Constantin 1977- Popa, Dumitru 1956- |
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| dewey-full | 515/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7 |
| dewey-search | 515/.7 |
| dewey-sort | 3515 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:40Z |
| institution | BVB |
| isbn | 1402015607 9781402015601 9789048163991 |
| language | English |
| lccn | 2003058892 |
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| physical | X, 451 S. |
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| series | Kluwer texts in the mathematical sciences |
| series2 | Kluwer texts in the mathematical sciences |
| spelling | Costara, Constantin 1977- Verfasser (DE-588)142209554 aut Exercises in functional analysis by Constantin Costara and Dumitru Popa 1. ed. Dordrecht [u.a.] Kluwer 2003 X, 451 S. txt rdacontent n rdamedia nc rdacarrier Kluwer texts in the mathematical sciences 26 Analyse fonctionnelle - Problèmes et exercices Functional analysis Problems, exercises, etc Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Funktionalanalysis (DE-588)4018916-8 s DE-604 Popa, Dumitru 1956- Verfasser (DE-588)111061717 aut Kluwer texts in the mathematical sciences 26 (DE-604)BV005450041 26 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010490251&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Costara, Constantin 1977- Popa, Dumitru 1956- Exercises in functional analysis Kluwer texts in the mathematical sciences Analyse fonctionnelle - Problèmes et exercices Functional analysis Problems, exercises, etc Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4143389-0 |
| title | Exercises in functional analysis |
| title_auth | Exercises in functional analysis |
| title_exact_search | Exercises in functional analysis |
| title_full | Exercises in functional analysis by Constantin Costara and Dumitru Popa |
| title_fullStr | Exercises in functional analysis by Constantin Costara and Dumitru Popa |
| title_full_unstemmed | Exercises in functional analysis by Constantin Costara and Dumitru Popa |
| title_short | Exercises in functional analysis |
| title_sort | exercises in functional analysis |
| topic | Analyse fonctionnelle - Problèmes et exercices Functional analysis Problems, exercises, etc Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Analyse fonctionnelle - Problèmes et exercices Functional analysis Problems, exercises, etc Funktionalanalysis Aufgabensammlung |
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