Continuous semigroups in Banach algebras
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Author
Publication
1982 - Cambridge University Press, Cambridge [Cambridgeshire], England
Language
English
Word Count
36,250 words, Guess
Page Count
145 pages
Identifiers
- Open LibraryOL3781536M
- ISBN-100521285984
- OCLC Control Number8052183
- Internet Archivecontinuoussemigr00sinc
- Library of Congress Control Number81021627
and 1 more
- Goodreads4109441
Classifications
- DDC512/.55
- LCCQA326 .S56 1982
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.
Subjects
Series Statement
- London Mathematical Society lecture note series ;
Other Editions
- Continuous semigroups in Banach algebras
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