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Basic classes of linear operators /

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This book provides an introduction to functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As textbook designed for senior undergra...

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Bibliographic Details
Main Author: Gohberg, I. (Israel), 1928-2009
Corporate Author: SpringerLink (Online service)
Other Authors: Goldberg, Seymour, 1928-, Kaashoek, M. A.
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser, [2003]
Subjects:
Linear operators.
Opérateurs linéaires.
Lineaire operatoren.
Operadores lineares (teoria)
Operatortheorie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Hilbert Spaces
  • Bounded Linear Operators on Hilbert Spaces
  • Laurent and Toeplitz Operators on Hilbert Spaces
  • Spectral Theory of Compact Self-Adjoint Operators
  • Spectral Theory of Integral Operators
  • Unbounded Operators on Hilbert Spaces
  • Oscillations of an Elastic String
  • Operational Calculus with Applications
  • Solving Linear Equations by Iterative Methods
  • Further Developments of the Spectral Theorem
  • Banach Spaces
  • Linear Operators Banach Spaces
  • Compact Operators on Banach Spaces
  • Poincaré Operators: Determinant and Trace
  • Fredholm Operators
  • Toeplitz and Singular Integral Operators
  • Nonlinear Operators.