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Applied functional analysis /

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Bibliographic Details
Main Author: Aubin, Jean Pierre
Format: eBook
Language:English
Published: New York : Wiley, ©2000.
Edition:2nd ed.
Series:Pure and applied mathematics (John Wiley & Sons : Unnumbered)
Subjects:
Functional analysis.
Hilbert space.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Matter
  • Introduction: A Guide to the Reader
  • The Projection Theorem
  • Theorems on Extension and Separation
  • Dual Spaces and Transposed Operators
  • The Banach Theorem and the Banach-Steinhaus Theorem
  • Construction of Hilbert Spaces
  • L Spaces and Convolution Operators
  • Sobolev Spaces of Functions of One Variable
  • Some Approximation Procedures in Spaces of Functions
  • Sobolev Spaces of Functions of Several Variables and the Fourier Transform
  • Introduction to Set-Valued Analysis and Convex Analysis
  • Elementary Spectral Theory
  • Hilbert-Schmidt Operators and Tensor Products
  • Boundary Value Problems
  • Differential-Operational Equations and Semigroups of Operators
  • Viability Kernels and Capture Basins
  • First-Order Partial Differential Equations
  • Selection of Results
  • Exercises
  • Bibliography
  • Index
  • Pure and Applied Mathematics.