ENGLISH

Banach, Fréchet, Hilbert and Neumann spaces

By Simon , Jacques Charles Henri

Book information

Publisher
ISTE
Year
2017
ISBN
9781119426516, 1119426510, 978-1-78630-009-6
Language
english
Format
PDF
Filesize
16 MB (17089538 bytes)
Series
Analysis for PDEs set volume 1
Pages
\345
Time added
2017-10-15 16:00:00
Banach spaces;Fréchet spaces;MATHEMATICS / Calcul

Description

Content: 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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