The Resource Descriptive Topology in Selected Topics of Functional Analysis, by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer, (electronic resource)

Descriptive Topology in Selected Topics of Functional Analysis, by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer, (electronic resource)

Label
Descriptive Topology in Selected Topics of Functional Analysis
Title
Descriptive Topology in Selected Topics of Functional Analysis
Statement of responsibility
by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Kąkol, Jerzy
Dewey number
515.7
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 4kZL4NuMhzc
  • VGnOwfVZ3qY
  • 2twRjk1xwuk
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Kubiś, Wiesław.
  • López-Pellicer, Manuel.
Series statement
Developments in Mathematics,
Series volume
24
http://library.link/vocab/subjectName
  • Functional analysis
  • Topology
  • Functions, special
  • Functional Analysis
  • Topology
  • Special Functions
Label
Descriptive Topology in Selected Topics of Functional Analysis, by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (493 p.)
Form of item
online
Isbn
9781461405290
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-0529-0
Specific material designation
remote
System control number
  • (CKB)2550000000045946
  • (EBL)798773
  • (OCoLC)755926656
  • (SSID)ssj0000609513
  • (PQKBManifestationID)11423348
  • (PQKBTitleCode)TC0000609513
  • (PQKBWorkID)10620580
  • (PQKB)10480275
  • (DE-He213)978-1-4614-0529-0
  • (MiAaPQ)EBC798773
  • (EXLCZ)992550000000045946
Label
Descriptive Topology in Selected Topics of Functional Analysis, by Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (493 p.)
Form of item
online
Isbn
9781461405290
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-0529-0
Specific material designation
remote
System control number
  • (CKB)2550000000045946
  • (EBL)798773
  • (OCoLC)755926656
  • (SSID)ssj0000609513
  • (PQKBManifestationID)11423348
  • (PQKBTitleCode)TC0000609513
  • (PQKBWorkID)10620580
  • (PQKB)10480275
  • (DE-He213)978-1-4614-0529-0
  • (MiAaPQ)EBC798773
  • (EXLCZ)992550000000045946

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