Continuous Semigroups in Banach Algebras
(Book #63 in the London Mathematical Society Lecture Note Series)
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Book 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.
Format:Paperback
Language:English
ISBN:0521285984
ISBN13:9780521285988
Release Date:July 1982
Publisher:Cambridge University Press
Length:152 Pages
Weight:0.51 lbs.
Dimensions:0.3" x 6.0" x 9.0"
Related Subjects
Abstract Algebra Differential Equations Linear Math Mathematics Pure Mathematics Science & MathCustomer Reviews
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