Topological Vector Spaces

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The second edition offers an in-depth analysis of the Hahn-Banach theorem, enriched with concrete examples and historical context. It delves into the theorem's relationship with the axiom of choice and examines the uniqueness of Hahn-Banach extensions. A notable addition is a new chapter dedicated to vector-valued Hahn-Banach extensions, enhancing the book's comprehensiveness and relevance for readers seeking a thorough understanding of this mathematical concept.