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Functional calculi /

Bosch Giral, Carlos.

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Functional calculi /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional calculi // Carlos Bosch, Charles Swartz.
作者:	Bosch Giral, Carlos.
其他作者:	Swartz, Charles,
出版者:	[Hackensack,] New Jersey :World Scientific, : 2013.,
面頁冊數:	x, 215 p. :ill ;24 cm.
標題:	Functional analysis. -
ISBN:	9789814415972 (hbk.) :

Functional calculi /
Bosch Giral, Carlos.

Functional calculi /Carlos Bosch, Charles Swartz. - [Hackensack,] New Jersey :World Scientific,2013. - x, 215 p. :ill ;24 cm.

Includes bibliographical references (p. 209-211) and index.

Vector and operator valued measures --

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.

ISBN: 9789814415972 (hbk.) :US88.00

LCCN: 2013427374Subjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320 / .B675 2013

Functional calculi /
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100 1 $a Bosch Giral, Carlos. $3 2070350
245 1 0 $a Functional calculi / $c Carlos Bosch, Charles Swartz.
260 # $a [Hackensack,] New Jersey : $b World Scientific, $c 2013.
300 $a x, 215 p. : $b ill ; $c 24 cm.
504 $a Includes bibliographical references (p. 209-211) and index.
505 0 # $t Vector and operator valued measures -- $t Functions of a self adjoint operator -- $t Functions of several commuting self adjoint operators -- $t The spectral theorem for normal operators -- $t Integrating vector valued functions -- $t An abstract functional calculus -- $t The Riesz operational calculus -- $t Weyl's functional calculus.
520 # $a 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.
650 # 0 $a Functional analysis. $3 531838
700 1 # $a Swartz, Charles, $d 1938- $3 840452