Continuous Semigroups in Banach Algebras
By (author) Allan M. Sinclair
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Continuous Semigroups in Banach Algebras by Allan M. Sinclair
Book DescriptionIn 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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Book DetailsISBN: 9780521285988
(228mm x 152mm x 9mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 17-Jun-1982
Country of Publication: United Kingdom
Books By Author Allan M. Sinclair
Finite Von Neumann Algebras and Masas, Paperback (June 2008)
The first book devoted to the general theory of finite von Neumann algebras.
Hochschild Cohomology of Von Neumann Algebras, Paperback (March 1995)
This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals.
Automatic Continuity of Linear Operators, Paperback (February 1976)» View all books by Allan M. Sinclair
Some of the results on automatic continuity of intertwining operators and homomorphisms that were obtained between 1960 and 1973 are collected here.
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