Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Continuous Semigroups in Banach Algebras

Continuous Semigroups in Banach Algebras

Sinclair, Allan M.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 63

AlgebraGeneral Mathematics

ISBN10: 0521285984
ISBN13: 9780521285988
Publisher: Cambridge University Press
Published: Jun 17 1982
Pages: 152
Weight: 0.51
Height: 0.35 Width: 6.00 Depth: 9.00
Language: English
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.

Also in

Algebra

View All