Topics in Banach space theory. (2016)

• Record Type: Book
• Further Information: Note: Fernando Albiac, Nigel J. Kalton.
• Authors: Albiac, Fernando; Kalton, Nigel J (Nigel John), 1946-
• Contents: 1. Bases and Basic Sequences -- 2. The Classical Sequence Spaces -- 3. Special Types of Bases -- 4. Banach Spaces of Continuous Functions -- 5. L_{1}(\mu)-Spaces and \mathcal C(K)-Spaces -- 6. The Spaces L_{p} for 1\le p<\infty -- 7. Factorization Theory -- 8. Absolutely Summing Operators -- 9. Perfectly Homogeneous Bases and Their Applications -- 10. Greedy-type Bases -- 11. \ell _p-Subspaces of Banach Spaces -- 12. Finite Representability of \ell _p-Spaces -- 13. An Introduction to Local Theory -- 14. Nonlinear Geometry of Banach Spaces -- 15. Important Examples of Banach Spaces -- Appendix A Normed Spaces and Operators -- Appendix B Elementary Hilbert Space Theory -- Appendix C Duality in L_{p}(\mu): H\"older's inequality related results -- Appendix D Main Features of Finite-Dimensional Spaces -- Appendix E Cornerstone Theorems of Functional Analysis -- Appendix F Convex Sets and Extreme Points -- Appendix G The Weak Topologies -- Appendix H Weak Compactness of Sets and Operators -- Appendix I Basic probability in use -- Appendix J Generalities on Ultraproducts -- Appendix K The Bochner Integral abridged -- List of Symbols -- References -- Index.
• Publisher Details: Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource (xx, 508 pages), illustrations
• Subjects: 515/.732; Mathematics; Banach spaces; Banach spaces; Functional analysis; Mathematics -- Functional Analysis; Functional analysis & transforms; Electronic books
• Languages: English
• ISBNs: 9783319315577; 3319315579; 3319315552; 9783319315553
• Related ISBNs: 9783319315553
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 25, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.