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Topology --- Uniform spaces --- Topological spaces. --- Topology. --- Uniform spaces.
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Metric spaces. --- Normed linear spaces. --- Functional analysis.
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Banach spaces --- Convexity spaces --- Radon-Nikodym property
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This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness conditions are significant. It is a fairly self-contained study of the structural theory of those spaces, concentrating on the basic phenomena in the theory, and presenting a variety of functional-analytic techniques.Beginning with some basic and important results in different branches of Analysis, the volume deals with Baire spaces, presents a variety of techniques, and gives the necessary definitions, exploring conditions on discs to ensure that they are absorbed by the barrels of the sp
Functional analysis --- Barrelled spaces. --- Espaces tonnelés. --- Locally convex spaces. --- Barrelled spaces --- Locally convex spaces --- Spaces, Locally convex --- Linear topological spaces --- Spaces, Barrelled --- Espaces vectoriels topologiques --- Espaces tonnelés.
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Functional analysis --- Inner product spaces --- Inner product spaces.
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Stochastic processes --- Functional analysis --- Probabilities --- Banach spaces --- Probabilities. --- Banach spaces.
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The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of references has been updated.The book presents a systematic treatment of the theory of Saks Spaces, i.e. vector space with a norm and related, subsidiary locally convex topology. Applications are given to space of bounded, continuous functions, to measure theory, vector measures, spaces of bounded measurable functions, spaces of bounded analytic functions, and to W*-algebras.
Saks spaces.
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Functional analysis.
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Functional calculus
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Calculus of variations
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Functional equations
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Integral equations
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Mixed spaces
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Spaces, Mixed
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Spaces, Saks
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Locally convex spaces
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