Banach, FreΜchet, Hilbert and Neumann spaces
β Scribed by Simon, Jacques Charles Henri
- Publisher
- ISTE
- Year
- 2017
- Tongue
- English
- Leaves
- 345
- Series
- Analysis for PDEs set volume 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content: Prerequisites --
SEMI-NORMED SPACES. Semi-normed Spaces --
Comparison of Semi-normed Spaces --
Banach, FreΜchet 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.
β¦ Subjects
Banach spaces;FreΜchet spaces;MATHEMATICS / Calculus;MATHEMATICS / Mathematical Analysis
π SIMILAR VOLUMES
This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables.
An elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into exis