| Continuous Semigroups in Banach Algebras Contributor(s): Sinclair, Allan M. (Author), Hitchin, N. J. (Editor) |
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ISBN: 0521285984 ISBN-13: 9780521285988 Publisher: Cambridge University Press OUR PRICE: $49.39 Product Type: Paperback - Other Formats Published: July 1982 Annotation: In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Differential Equations - General - Mathematics | Algebra - Abstract |
| Dewey: 512.55 |
| LCCN: 81021627 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.35" H x 6" W x 9" (0.51 lbs) 152 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |