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πŸ“

Banach, Fréchet, Hilbert and Neumann spaces

✍ Scribed by Simon, Jacques Charles Henri


Publisher
ISTE
Year
2017
Tongue
English
Leaves
345
Series
Analysis for PDEs set volume 1
Category
Library

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✦ Table of Contents


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.

✦ Subjects


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


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