Banach Space Theory (Record no. 105784)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03426nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-1-4419-7515-7 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083724.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110202s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781441975157 |
| -- | 978-1-4419-7515-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-1-4419-7515-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA319-329.9 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT037000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Fabian, Marián. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Banach Space Theory |
| Medium | [electronic resource] : |
| Remainder of title | The Basis for Linear and Nonlinear Analysis / |
| Statement of responsibility, etc | by Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler. |
| 264 #1 - | |
| -- | New York, NY : |
| -- | Springer New York, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIV, 822p. 40 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, |
| International Standard Serial Number | 1613-5237 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- Basic Concepts in Banach Spaces -- Hahn-Banach and Banach Open Mapping Theorems -- Weak Topologies and Banach Spaces -- Schauder Bases -- Structure of Banach Spaces -- Finite-Dimensional Spaces -- Optimization -- C^1 Smoothness in Separable Spaces -- Superreflexive Spaces -- Higher Order Smoothness -- Dentability and differentiability -- Basics in Nonlinear Geometric Analysis -- Weakly Compactly Generated Spaces -- Topics in Weak Topologies on Banach Spaces -- Compact Operators on Banach Spaces -- Tensor Products -- Appendix -- References -- Symbol Index -- Subject Index -- Author Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topology. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional Analysis. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topology. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Habala, Petr. |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hájek, Petr. |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Montesinos, Vicente. |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Zizler, Václav. |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9781441975140 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC, |
| -- | 1613-5237 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4419-7515-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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