Functional Calculi
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Author
Publication
2013 - World Scientific Publishing Co Pte Ltd
Language
English
Word Count
50,000 words, Guess
Page Count
200 pages
Identifiers
- Open LibraryOL28508011M
- ISBN-139789814415972
- OCLC Control Number855858486
- Library of Congress Control Number2013427374
Classifications
- LCCQA320
Description
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 --
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