Basic classes of linear operators

Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek

440 pages, parution le 04/11/2003

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Résumé

Basic Classes of Linear operators 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. Designed as a textbook for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces. Included is the spectral theory for compact self adjoint operators with a wide range of applications. Part of the volume is devoted to Banach spaces and operators acting on these spaces. The theory is richly illustrated by many examples including Laurent, Toeplitz and Poincare operators.

Presented as a natural continuation of linear algebra, Basic Classes of Linear Operators provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.

This book is an enriched new version of Basic Operator Theory by I. Gohberg and S. Goldberg. It also serves as an excellent introduction to the two volumes of Classes of Linear Operators by the same authors.

Introduction
Hilbert sapces
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 sapce
Oscilliations of an elaxtic string
Operational calculus xith applications
Solving linear equations by iterative methods
Further developments of the spectral theorem
Banach spaces
Linear operators on a Banach space
Compact operators on a Banach space
Poincaré operators : Determinant and trace
Fredholm operators
Toeplitz and singular integral operators
Non linear operators
Appendices
References
List of symbols
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Israel Gohberg, Seymour Goldberg, Marinus A. Kaashoek
Parution	04/11/2003
Nb. de pages	440
Format	17 x 24
Couverture	Broché
Poids	845g
Intérieur	Noir et Blanc
EAN13	9783764369309