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Geometric functional analysis and its applications/ R. B. Holmes

By: Holmes,R. BMaterial type: Text

TextPublication details: New York : Springer, 2013Description: 246p. : 24cmISBN: 146849371XSubject(s): Mathematics--Geometry | Geometry | Functional geometry | Geometrical analysisDDC classification: 515.7

Contents:

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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Holdings
Item 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

Total holds: 0

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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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