TY  - BOOK
AU  - Holmes,R. B.
TI  - Geometric functional analysis and its applications
SN  - 146849371X
U1  - 515.7 
PY  - 2013///
CY  - New York
PB  - Springer
KW  - Mathematics--Geometry
KW  - Geometry
KW  - Functional geometry
KW  - Geometrical analysis
N1  - 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.-
ER  -