Content: Cover
Half Title
Title Page
Copyright Page
Dedication
Table of Contents
Preface
1: Hahn-Banach's extension theorem
2: Banach spaces and Hilbert spaces
3: Operators and some consequences of Hahn-Banach's extension theorem
4: The uniform boundedness theorem and Banach's open mapping theorem
5: A structure theorem for compact sets in a Banach space
6: Topological injections and topological surjections
7: Vector topologies
8: Separation theorems and Krein-Milman's theorem
9: Projective topologies and inductive topologies
10: Normed spaces associated with a locally convex space 11: Bounded sets and compact sets in metrizable topological vector spaces12: The bornological space associated with a locally convex space
13: Vector bornologies
14: Initial bornologies and final bornologies
15: von Neumann bornologies and locally convex topologies determined by convex bornologies
16: Dual pairs and the weak topology
17: Elementary duality theory
18: Semi-reflexive spaces and ultra-semi-reflexive spaces
19: Some recent results on compact operators and weakly compact operators
20: Precompact seminorms and Schwartz spaces
21: Elementary Riesz-Schauder's theory 22: An introduction to operator ideals23: An aspect of fixed point theory
24: An introduction to ordered convex spaces
Special symbols
References
Index