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020 a| 9814415979;

020 a| 9789814415972;

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049 a| EREEa| NEHH;

050 00 a| QA320b| .B675 2013;

100 1 a| Bosch Giral, Carlos.=| ^A909303;

245 10 a| Functional calculih| [electronic resource] /c| Carlos Bosch, Instituto Tecnológico Autónomo de México, México, Charles Swartz, New Mexico State University, USA.;

260 a| [Hackensack,] New Jersey :b| World Scientific,c| [2013];

300 a| x, 215 pages ;c| 24 cm.;

504 a| Includes bibliographical references (pages 209-211) and index.;

505 0 a| 1. Vector and operator valued measures -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus -- 8. Weyl's functional calculus -- Appendices.;

506 a| Available only to authorized users.;

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 --c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Functional analysis.=| ^A16456;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Swartz, Charles,d| 1938-=| ^A191611;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=1193621;

947 a| (OCoLC)ocn801662716;

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596 a| 1 3 4;

998 a| 4090354;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4090354-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/1/2016x| EBOOKz| HERESOURCE;

999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 4090354-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/1/2016x| EBOOKz| JERESOURCE;

Functional calculi / Carlos Bosch, Instituto Tecnológico Autónomo de México, México, Charles Swartz, New Mexico State University, USA.

Author/creator	Bosch Giral, Carlos
Other author	Swartz, Charles, 1938-
Format	Electronic
Publication Info	[Hackensack,] New Jersey : World Scientific, [2013]
Description	x, 215 pages ; 24 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Functional analysis.

Contents	1. Vector and operator valued measures -- 2. Functions of a self adjoint operator -- 3. Functions of several commuting self adjoint operators -- 4. The spectral theorem for normal operators -- 5. Integrating vector valued functions -- 6. An abstract functional calculus -- 7. The Riesz operational calculus -- 8. Weyl's functional calculus -- Appendices.
Abstract	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 -- Source other than Library of Congress.
Bibliography note	Includes bibliographical references (pages 209-211) and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2013427374
ISBN	9814415979
ISBN	9789814415972

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Functional calculi / Carlos Bosch, Instituto Tecnológico Autónomo de México, México, Charles Swartz, New Mexico State University, USA.

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