FUNCTIONAL CALCULI di Carlos Bosch, Charles W Swartz edito da World Scientific Publishing Company
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FUNCTIONAL CALCULI

EAN:

9789814415972

ISBN:

9814415979

Pagine:
228
Formato:
Hardback
Lingua:
Inglese
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Descrizione FUNCTIONAL CALCULI

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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