[PDF.20hv] Continuous Semigroups in Banach Algebras (London Mathematical Society Lecture Note Series)

Continuous Semigroups in Banach Algebras (London Mathematical Society Lecture Note Series)

[PDF.jg13] Continuous Semigroups in Banach Algebras (London Mathematical Society Lecture Note Series)

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 | #3526011 in eBooks |  1982-06-17 |  1982-06-17 | File type: PDF

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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 ...

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