Continuous Semigroups in Banach Algebras
Author:   Allan M Sinclair (University of Edinburgh)
Publisher:   Cambridge University Press
ISBN:  

9781299403871


Pages:   153
Publication Date:   01 January 1982
Format:   Undefined
Availability:   Available To Order   Availability explained
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Continuous Semigroups in Banach Algebras


Overview

In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis.

Full Product Details

Author:   Allan M Sinclair (University of Edinburgh)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
ISBN:  

9781299403871


ISBN 10:   1299403875
Pages:   153
Publication Date:   01 January 1982
Audience:   General/trade ,  General
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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