FUNCTIONAL CALCULI

von Bosch Carlos

228 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Analysis
• ISBN: 9789814415972
• Sprache: Englisch
• Erscheinungsdatum: 26.03.2013
• Größe: 235 x 157 mm
• Verlag: World Scientific