Kniha Functional Calculi Charles Swartz

Functional Calculi

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
2 089
A functional calculus is a construction which associates with an operator or a family of operators a...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2013
Stránek
228
EAN
9789814415972
ISBN
9814415979
Enbook ID
01367890
Hmotnost
520
Rozměry
157 x 232 x 19

Kompletní popis

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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