Continuous Semigroups in Banach Algebras Allan M. Sinclair

ISBN: 9780521285988

Published: June 17th 1982


152 pages


Continuous Semigroups in Banach Algebras  by  Allan M. Sinclair

Continuous Semigroups in Banach Algebras by Allan M. Sinclair
June 17th 1982 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 152 pages | ISBN: 9780521285988 | 3.27 Mb

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. Esterles 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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