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Functional Calculi (Hardback)
  • Functional Calculi (Hardback)

Functional Calculi (Hardback)

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Hardback 228 Pages / Published: 29/05/2013
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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.

Publisher: World Scientific Publishing Co Pte Ltd
ISBN: 9789814415972
Number of pages: 228
Weight: 544 g
Dimensions: 229 x 152 x 20 mm

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