ENGLISH

Continuous semigroups in Banach algebras

By Allan M. Sinclair

Book information

Publisher
CUP
Year
1982
ISBN
9780521285988, 0521285984
LCC
QA326 .S56 1982
Open Library ID
OL3781536M
Language
english
Format
DJVU
Filesize
784 kB (802889 bytes)
Series
London Mathematical Society Lecture Note Series
Pages
151\151
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

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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