A short course on Banach space theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2005
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society
64 |
| Schlagworte: | |
| Online-Zugang: | Sample text Table of contents Publisher description Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 184 S. graph. Darst. |
| ISBN: | 0521603722 0521842832 9780521603720 |
Internformat
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| 245 | 1 | 0 | |a A short course on Banach space theory |c N. L. Carothers |
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| 490 | 1 | |a London Mathematical Society student texts |v 64 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents Preface 1 Classical Banach Spaces The Sequence Spaces lp and c0 Finite-Dimensional Spaces The Lp Spaces The C(K) Spaces Hilbert Space “Neoclassical” Spaces The Big Questions Notes and Remarks Exercises 2 Preliminaries Continuous Linear Operators Finite-Dimensional Spaces Continuous Linear Functionals Adjoints Projections Quotients A Curious Application Notes and Remarks Exercises 3 Bases in Banach Spaces Schauder’s Basis for C[0, 1] The Haar System Notes and Remarks Exercises 4 Bases in Banach Spaces II A Wealth of Basic Sequences Disjointly Supported Sequences in Lp and f p page xi 1 1 2 3 4 6 7 7 9 9 11 11 12 13 15 16 17 20 20 20 24 28 30 32 33 34 34 35
5 6 7 8 9 10 11 Equivalent Bases Notes and Remarks Exercises Bases in Banach Spaces III Block Basic Sequences Subspaces of íp and cq Complemented Subspaces of ip and co Notes and Remarks Exercises Special Properties of co, £ i, and £æ True Stories About £1 The Secret Life of £„0 Confessions of Co Notes and Remarks Exercises Bases and Duality Notes and Remarks Exercises Lp Spaces Basic Inequalities Convex Functions and Jensen’s Inequality A Test for Disjointness Conditional Expectation Notes and Remarks Exercises Lp Spaces II The Rademacher Functions Khinchine’s Inequality The Kadec-Pełczyński Theorem Notes and Remarks Exercises Lp Spaces III Unconditional Convergence Orlicz’s Theorem Notes and Remarks Exercises Convexity Strict Convexity Nearest Points Smoothness 38 41 42 44 44 47 49 51 54 55 55 60 63 65 65 67 71 72 73 73 74 77 78 82 83 85 85 87 91 97 98 99 99 101 106 106 107 108 112 113
Uniform Convexity Clarkson’s Inequalities An Elementary Proof That L*p = Lq Notes and Remarks Exercises 12 C(K) Spaces The Cantor Set Completely Regular Spaces Notes and Remarks Exercises 13 Weak Compactness in ¿i Notes and Remarks Exercises 14 The Dunford-Pettis Property Notes and Remarks Exercises 15 C(K) Spaces II The Stone-Čech Compactification Return to C(K) Notes and Remarks Exercises 16 C(K) Spaces III The Stone-Čech Compactification of a Discrete Space A Few Facts About ß N “Topological” Measure Theory The Dual of fee The Riesz Representation Theorem for C(ß D) Notes and Remarks Exercises Appendix: Topology Review Separation Locally Compact Hausdorff Spaces Weak Topologies Product Spaces Nets Notes and Remarks Exercises 114 117 119 122 122 124 124 125 134 134 136 141 141 142 146 147 148 148 153 155 155 156 156 157 158 161 162 165 165 166 166 167 169 170 171 172 172 References Index 173 181
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| author | Carothers, Neal L. 1952- |
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| discipline | Mathematik |
| edition | 1. publ. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:33:43Z |
| institution | BVB |
| isbn | 0521603722 0521842832 9780521603720 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020029438 |
| oclc_num | 845673995 |
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| owner_facet | DE-11 DE-188 DE-824 DE-83 |
| physical | XII, 184 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society |
| series2 | London Mathematical Society student texts |
| spelling | Carothers, Neal L. 1952- Verfasser (DE-588)132017520 aut A short course on Banach space theory N. L. Carothers 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2005 XII, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society student texts 64 Includes bibliographical references and index Banach spaces Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s DE-604 London Mathematical Society London Mathematical Society student texts 64 (DE-604)BV000841726 64 http://www.loc.gov/catdir/samples/cam051/2004045627.html Sample text http://www.loc.gov/catdir/toc/cam051/2004045627.html Table of contents http://www.loc.gov/catdir/description/cam041/2004045627.html Publisher description Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020029438&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carothers, Neal L. 1952- A short course on Banach space theory London Mathematical Society Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | A short course on Banach space theory |
| title_auth | A short course on Banach space theory |
| title_exact_search | A short course on Banach space theory |
| title_full | A short course on Banach space theory N. L. Carothers |
| title_fullStr | A short course on Banach space theory N. L. Carothers |
| title_full_unstemmed | A short course on Banach space theory N. L. Carothers |
| title_short | A short course on Banach space theory |
| title_sort | a short course on banach space theory |
| topic | Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach spaces Banach-Raum |
| url | http://www.loc.gov/catdir/samples/cam051/2004045627.html http://www.loc.gov/catdir/toc/cam051/2004045627.html http://www.loc.gov/catdir/description/cam041/2004045627.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020029438&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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