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Continuous Semigroups in Banach Algebras

By: Allan M. Sinclair (Author)

Ksh 17,100.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511662423

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: March 22nd, 2010

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521285988

Category: Algebra

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  • Description

  • Author Bio

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.

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