Książka Continuous Semigroups in Banach Algebras Allan M. Sinclair

Continuous Semigroups in Banach Algebras

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 14-21 dni
248.80
In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discus...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1982
strony
152
EAN
9780521285988
ISBN
0521285984
Enbook ID
02026622
Waga
250
Wymiary
152 x 228 x 9

Pełny opis

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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