Geometric Functional Analysis and its Applications (Record no. 61534)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02256nam a22002297a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240503113739.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240503b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781468493719 |
| 028 ## - DISTRIBUTOR NAME | |
| Distributor Name | : Zafaa Books & Distributor |
| Distributor address | : 313/56F,49A, Anand Nagar, Inderlok, Delhi |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 HOL |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Richard B. Holmes |
| 245 ## - TITLE STATEMENT | |
| Title | Geometric Functional Analysis and its Applications |
| Statement of responsibility, etc | / Richard B. Holmes |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | , New York |
| Name of publisher, distributor, etc | : Springer-Verlag |
| Date of publication, distribution, etc | , 1975. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | viii, 246p. |
| Dimensions | : 24cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Graduate Texts in Mathematics 24 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli cations. These applications are to optimization theory in general and to best approximation theory in particular. The geometric nature of the subjects has greatly influenced the approach to functional analysis presented herein, especially its basis on the unifying concept of convexity. Most of the major theorems either concern or depend on properties of convex sets; the others generally pertain to conjugate spaces or compactness properties, both of which topics are important for the proper setting and resolution of optimization problems. In consequence, and in contrast to most other treatments of functional analysis, there is no discussion of spectral theory, and only the most basic and general properties of linear operators are established. Some of the theoretical highlights of the book are the Banach space theorems associated with the names of Dixmier, Krein, James, Smulian, Bishop-Phelps, Brondsted-Rockafellar, and Bessaga-Pelczynski. Prior to these (and others) we establish to two most important principles of geometric functional analysis: the extended Krein-Milman theorem and the Hahn Banach principle, the latter appearing in ten different but equivalent formula tions (some of which are optimality criteria for convex programs). In addition, a good deal of attention is paid to properties and characterizations of conjugate spaces, especially reflexive spaces. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometric nature |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Linear topological spaces |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | R. B. Holmes |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date checked out | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | SNU LIBRARY | SNU LIBRARY | 03/05/2024 | Zafaa Books | 4908.00 | 2 | 1 | 515.7 HOL | 30147 | 11/10/2025 | 08/09/2025 | 03/05/2024 | Books |
