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Topological vector spaces and distributions

Juan Horváth

Open publisher page 759 citations

Abstract

"The most readable introduction to the theory of vector spaces available in English and possibly any other language."-J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition o

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"The most readable introduction to the theory of vector spaces available in English and possibly any other language."-J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition o

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Available abstract

"The most readable introduction to the theory of vector spaces available in English and possibly any other language."-J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition o

Key concepts: Locally convex topological vector space, Topological space, Topological vector space, Topology (electrical circuits), Vector (molecular biology), Topological tensor product, Mathematics, Pure mathematics

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