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Functional calculi

Author: Carlos Bosch Giral; Charles Swartz
Publisher: Singapore ; Hackensack, NJ : World Scientific, [2013] ©2013
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Carlos Bosch Giral; Charles Swartz
ISBN: 9814415979 9789814415972
OCLC Number: 801662716
Description: x, 215 pages ; 24 cm
Contents: 1. Vector and operator valued measures --
2. Functions of a self adjoint operator --
3. Functions of several commuting self adjoint operators --
4. The spectral theorem for normal operators --
5. Integrating vector valued functions --
6. An abstract functional calculus --
7. The Riesz operational calculus --
8. Weyl's functional calculus --
Appendices.
Responsibility: Carlos Bosch, Instituto Tecnológico Autónomo de México, México, Charles Swartz, New Mexico State University, USA.

Abstract:

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, such as a  Read more...

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