Geometric functional analysis and its applications/ R. B. Holmes
Material type: TextPublication details: New York : Springer, 2013Description: 246p. : 24cmISBN: 146849371XSubject(s): Mathematics--Geometry | Geometry | Functional geometry | Geometrical analysisDDC classification: 515.7Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University General Book Section | 515.7 HOL/G (Browse shelf(Opens below)) | Available | P39961 |
Includes index and references.
I Convexity in Linear Spaces.-
1. Linear Spaces.-
2. Convex Sets.-
3. Convex Functions.-
4. Basic Separation Theorems.-
5. Cones and Orderings.-
6. Alternate Formulations of the Separation Principle.-
7. Some Applications.-
8. Extremal Sets.-
Exercises.-
II Convexity in Linear Topological Spaces.-
9. Linear Topological Spaces.-
10. Locally Convex Spaces.-
11. Convexity and Topology.-
12. Weak Topologies.-
13. Extreme Points.-
14. Convex Functions and Optimization.-
15. Some More Applications.-
Exercises.-
III Principles of Banach Spaces.-
16. Completion, Congruence, and Reflexivity.-
17. The Category Theorems.-
18. The Smulian Theorems.-
19. The Theorem of James.-
20. Support Points and Smooth Points.-
21. Some Further Applications.-
Exercises.-
IV Conjugate Spaces and Universal Spaces.-
22. The Conjugate of C(?, ?).-
23. Properties and Characterizations of Conjugate Spaces.-
24. Isomorphism of Certain Conjugate Spaces.-
25. Universal Spaces.-
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