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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Lecture Note Series |
| Release date: |
June 1982 |
| First published: |
1982 |
| Authors: |
Allan M. Sinclair
|
| Dimensions: |
228 x 152 x 9mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
152 |
| ISBN-13: |
978-0-521-28598-8 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
0-521-28598-4 |
| Barcode: |
9780521285988 |
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