Title: Modern methods in topological vector spaces /
Authors: Wilansky, Albert
Year: 2013
Subjects: Linear topological spaces; MATHEMATICS Topology.; Linear topological spaces
Abstract: "Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators, inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--
Contents: Metric ideas -- Banach space -- Topological vector spaces -- Open mapping and closed graph theorems -- Five topics -- Local convexity -- Duality -- Equicontinuity -- The Strong topology -- Operators -- Completeness -- Inductive limits -- Compactness -- Barrelled spaces.