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WorldCat.org

Background. Commutative Topological Groups. Completeness. Topological Vector Spaces. Locally Convex Spaces and Seminorms. Bounded Sets. Hahn&ndash;Banach Theorems. Duality. Krein&ndash;Milman and Banach&ndash;Stone Theorems. Vector-Valued Hahn&ndash;Banach Theorems. Barreled Spaces. Inductive Limits. Bornological Spaces. Closed Graph Theorems. Reflexivity. Norm Convexities and Approximation. Bibliography. Index.

With many examples and historical notes, this book provides a treatment of the Hahn-Banach theorem. It explores the theorem&#39;s connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes a chapter on vector-valued Hahn-Banach theorems.

Topological vector spaces