Descriptive Topology in Selected Topics of Functional Analysis (Record no. 106258)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04132nam a22005055i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-1-4614-0529-0 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083732.0 |
| 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 | 110823s2011 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781461405290 |
| -- | 978-1-4614-0529-0 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-1-4614-0529-0 |
| 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 | Kąkol, Jerzy. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Descriptive Topology in Selected Topics of Functional Analysis |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer. |
| 264 #1 - | |
| -- | Boston, MA : |
| -- | Springer US, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 496 p. |
| 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 | Developments in Mathematics, |
| International Standard Serial Number | 1389-2177 ; |
| Volume number/sequential designation | 24 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- 1. Overview -- 2. Elementary Facts about Baire and Baire-Type Spaces -- 3. K-analytic and quasi-Suslin Spaces -- 4. Web-Compact Spaces and Angelic Theorems -- 5. Strongly Web-Compact Spaces and a Closed Graph Theorem -- 6. Weakly Analytic Spaces -- 7. K-analytic Baire Spaces -- 8. A Three-Space Property for Analytic Spaces -- 9. K-analytic and Analytic Spaces Cp(X) -- 10. Precompact sets in (LM)-Spaces and Dual Metric Spaces -- 11. Metrizability of Compact Sets in the Class G -- 12. Weakly Realcompact Locally Convex Spaces -- 13. Corson’s Propery (C) and tightness -- 14. Fréchet-Urysohn Spaces and Groups -- 15. Sequential Properties in the Class G -- 16. Tightness and Distinguished Fréchet Spaces -- 17. Banach Spaces with Many Projections -- 18. Spaces of Continuous Functions Over Compact Lines -- 19. Compact Spaces Generated by Retractions -- 20. Complementably Universival Banach Space -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. As the first monograph to approach the topic of topological vector spaces from the perspective of descriptive topology, this work provides also new insights into the connections between the topological properties of linear function spaces and their role in functional analysis. Descriptive Topology in Selected Topics of Functional Analysis is a self-contained volume that applies recent developments and classical results in descriptive topology to study the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, LF-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in distribution theory, differential equations, complex analysis, and various other areas of functional analysis. Written by three experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descriptive topology, modern analysis, set theory, topological vector spaces and Banach spaces, and continuous function spaces. Moreover, it will serve as a reference for present and future work done in this area and could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces. |
| 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 | Functions, special. |
| 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. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Special Functions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kubiś, Wiesław. |
| Relator term | author. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | López-Pellicer, Manuel. |
| 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 | 9781461405283 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Developments in Mathematics, |
| -- | 1389-2177 ; |
| Volume number/sequential designation | 24 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4614-0529-0 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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