Introductory Theory of Topological Vector SPates
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A01=Yau-Chuen Wong
Author_Yau-Chuen Wong
Banach Dual Space
Banach Space
Bipolar Theorem
Bounded Subset
Canonical Embedding
Canonical Injection
Category=PBM
Closed Vector Subspace
Compact Operators
Continuous Linear Maps
Convex Set
Convex Subset
Dual Pair
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Dimensional Banach Space
Hahn Banach's Extension Theorem
Hahn Banach’s Extension Theorem
Infinite Dimensional Banach Space
LCS
Locally Convex Space
Normed Space
Null Sequence
Schauder Basis
Topological Dual
Topological Isomorphism
Topological Vector Spaces
Vector Space
Vector Subspace
Product details
- ISBN 9780367402730
- Weight: 453g
- Dimensions: 152 x 229mm
- Publication Date: 05 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
Wong, Yau-Chuen
