FUNCTIONAL CALCULI - Hardcover

Bosch Carlos

 
9789814415972: FUNCTIONAL CALCULI
Hardcover
ISBN 10: 9814415979 ISBN 13: 9789814415972
Publisher: World Scientific Publishing Company, 2013

Synopsis

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.

"synopsis" may belong to another edition of this title.

From the Back Cover

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator." Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.

This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.

"About this title" may belong to another edition of this title.

Publisher
World Scientific Publishing Company
Publication date
2013
Language
English
ISBN 10 
9814415979
ISBN 13 
9789814415972
Binding
Hardcover
Number of pages
228