Bundles of topological vector spaces and their duality

Publication date: 1982

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Hahn-Banach theorem integral representation Gelfand representation bundle of Frechet spaces C(X)-module continuity of the bundle norm equivalence between the categories of locally convex C(X)-modules and bounded C(X)-module operators and the category of Banach bundles over X and bundle maps equivalence of bundle and sheaf theory Mackey-bundles tensor product of Banach-C(X)- modules

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

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