Simon, Jacques C. H. 4 0 1945-

Banach, Fréchet, Hilbert and Neumann spaces / 6 6 Jacques Simon. - - - 1 online resource. - - - - - . - Analysis for PDEs set volume 1 . - 0 . - . - Analysis for PDEs set 0 volume 1. .



Includes bibliographical references and index.

Prerequisites -- SEMI-NORMED SPACES. Semi-normed Spaces -- Comparison of Semi-normed Spaces -- Banach, Fréchet and Neumann Spaces -- Hilbert Spaces -- Product, Intersection, Sum and Quotient of Spaces -- CONTINUOUS MAPPINGS. Continuous Mappings -- Images of Sets Under Continuous Mappings -- Properties of Mappings in Metrizable Spaces -- Extension of Mappings, Equicontinuity -- Compactness in Mapping Spaces -- Spaces of Linear or Multilinear Mappings -- WEAK TOPOLOGIES. Duality -- Dual of a Subspace -- Weak Topology -- Properties of Sets for the Weak Topology -- Reflexivity -- Extractable Spaces -- DIFFERENTIAL CALCULUS. Differentiable Mappings -- Differentiation of Multivariable Mappings -- Successive Differentiations -- Derivation of Functions of One Real Variable.

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9781119426516;1119426510

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Banach spaces.;Fréchet spaces.;MATHEMATICS / Calculus;MATHEMATICS / Mathematical Analysis;Banach spaces.;Fréchet spaces. ----------


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