Functional Calculi (BOK)

Charles Swartz, Carlos Bosch

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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2013 Forfatter Carlos Bosch, Charles Swartz
Forlag
World Scientific Publishing UK
ISBN 9789814415972
Antall sider 228 Dimensjoner 15,2cm x 22,9cm x 2cm
Vekt 544 gram Leverandør Bertram Trading Ltd
Emner og form Calculus

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