Simon J.C.H. Banach, Fréchet, Hilbert and Neumann spaces

London: Wiley-ISTE, 2017. — 345 p.Prerequisites
Semi-normed Spaces
Comparison of Semi-normed Spaces
Banach, Fréchet and Neumann Spaces
Hilbert Spaces
Product, Intersection, Sum and Quotient of Spaces
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 Topology
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.