An introduction to Banach space theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1998
|
| Schriftenreihe: | Graduate texts in mathematics
183 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [547] - 564 |
| Beschreibung: | XIX, 596 S. graph. Darst. |
| ISBN: | 0387984313 9781461268352 |
Internformat
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| 300 | |a XIX, 596 S. |b graph. Darst. | ||
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| 490 | 1 | |a Graduate texts in mathematics |v 183 | |
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Datensatz im Suchindex
| _version_ | 1805083023879700480 |
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| adam_text |
ROBERT E. MEGGINSON AN INTRODUCTION TO BANACH SPACE THEORY SPRINGER
CONTENTS PREFACE IX BASIC CONCEPTS 1 1.1 PRELIMINARIES 1 1.2 NORMS 8 1.3
FIRST PROPERTIES OF NORMED SPACES 17 1.4 LINEAR OPERATORS BETWEEN NORMED
SPACES 24 1.5 BAIRE CATEGORY 35 1.6 THREE FUNDAMENTAL THEOREMS 41 1.7
QUOTIENT SPACES .\ 49 1.8 DIRECT SUMS 59 1.9 THE HAHN-BANACH EXTENSION
THEOREMS 70 1.10 DUAL SPACES 84 1.11 THE SECOND DUAL AND REFLEXIVITY 97
1.12 SEPARABILITY 109 *1.13 CHARACTERIZATIONS OF REFLEXIVITY 115 THE
WEAK AND WEAK* TOPOLOGIES 137 2.1 TOPOLOGY AND NETS 138 2.2 VECTOR
TOPOLOGIES 161 *2.3 METRIZABLE VECTOR TOPOLOGIES 185 2.4 TOPOLOGIES
INDUCED BY FAMILIES OF FUNCTIONS 203 *AN ASTERISK PRECEDING A SECTION
NUMBER INDICATES AN OPTIONAL SECTION. VIII CONTENTS 2.5 THE WEAK
TOPOLOGY 211 2.6 THE WEAK* TOPOLOGY 223 2.7 THE BOUNDED WEAK* TOPOLOGY
235 2.8 WEAK COMPACTNESS 245 *2.9 JAMES'S WEAK COMPACTNESS THEOREM 256
2.10 EXTREME POINTS 264 *2.11 SUPPORT POINTS AND SUBREFIEXIVITY 270 3
LINEAR OPERATORS 283 3.1 ADJOINT OPERATORS 283 3.2 PROJECTIONS AND
COMPLEMENTED SUBSPACES 295 3.3 BANACH ALGEBRAS AND SPECTRA 305 3.4
COMPACT OPERATORS 319 3.5 WEAKLY COMPACT OPERATORS 339 4 SCHAUDER BASES
349 4.1 FIRST PROPERTIES OF SCHAUDER BASES 350 4.2 UNCONDITIONAL BASES
368 4.3 EQUIVALENT BASES 386 4.4 BASES AND DUALITY 399 *4.5 JAMES'S
SPACE J 411 5 ROTUNDITY AND SMOOTHNESS 425 5.1 ROTUNDITY 426 5.2 UNIFORM
ROTUNDITY 441 5.3 GENERALIZATIONS OF UNIFORM ROTUNDITY 459 5.4
SMOOTHNESS 479 5.5 UNIFORM SMOOTHNESS 493 5.6 GENERALIZATIONS OF UNIFORM
SMOOTHNESS 504 A PREREQUISITES 517 B METRIC SPACES 521 C THE SPACES L V
AND T%, 1 P OO 529 D ULTRANETS 541 REFERENCES 547 LIST OF SYMBOLS
565 INDEX 569 |
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| dewey-full | 515/.732 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.732 |
| dewey-search | 515/.732 |
| dewey-sort | 3515 3732 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-20T07:41:58Z |
| institution | BVB |
| isbn | 0387984313 9781461268352 |
| language | English |
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| physical | XIX, 596 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Megginson, Robert E. 1948- Verfasser (DE-588)110055050X aut An introduction to Banach space theory Robert E. Megginson New York [u.a.] Springer 1998 XIX, 596 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 183 Literaturverz. S. [547] - 564 Banach-Raum Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s DE-604 Graduate texts in mathematics 183 (DE-604)BV000000067 183 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008313456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Megginson, Robert E. 1948- An introduction to Banach space theory Graduate texts in mathematics Banach-Raum Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | An introduction to Banach space theory |
| title_auth | An introduction to Banach space theory |
| title_exact_search | An introduction to Banach space theory |
| title_full | An introduction to Banach space theory Robert E. Megginson |
| title_fullStr | An introduction to Banach space theory Robert E. Megginson |
| title_full_unstemmed | An introduction to Banach space theory Robert E. Megginson |
| title_short | An introduction to Banach space theory |
| title_sort | an introduction to banach space theory |
| topic | Banach-Raum Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008313456&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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