UID:
almahu_9947367875502882
Format:
1 online resource (1017 p.)
Edition:
1st ed.
ISBN:
1-281-03431-2
,
9786611034313
,
0-08-053280-2
Content:
The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on bas
Note:
Description based upon print version of record.
,
Front Cover; Handbook of the Geometry of Banach Spaces; Copyright Page; Preface; Contents; Chapter 1. Basic concepts in the geometry of Banach spaces; Chapter 2. Positive operators; Chapter 3. Lp spaces; Chapter 4. Convex geometry and functional analysis; Chapter 5. Ap-sets in analysis: Results, problems and related aspects; Chapter 6. Martingales and singular integrals in Banach spaces; Chapter 7. Approximation properties; Chapter 8. Local operator theory, random matrices and Banach spaces; Chapter 9. Applications to mathematical finance
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Chapter 10. Perturbed minimization principles and applicationsChapter 11. Operator ideals; Chapter 12. Special Banach lattices and their applications; Chapter 13. Some aspects of the invariant subspace problem; Chapter 14. Special bases in function spaces; Chapter 15. Infinite dimensional convexity; Chapter 16. Uniform algebras as Banach spaces; Chapter 17. Euclidean structure in finite dimensional normed spaces; Chapter 18. Renormings of Banach spaces; Chapter 19. Finite dimensional subspaces of Lp; Chapter 20. Banach spaces and classical harmonic analysis
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Chapter 21. Aspects of the isometric theory of Banach spacesChapter 22. Eigenvalues of operators and applications; Author Index; Subject Index
,
English
Additional Edition:
ISBN 0-444-82842-7
Language:
English
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