On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem

Chojnacki, Wojciech

doi:10.1090/S0002-9939-98-04048-9

On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem
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by Wojciech Chojnacki PDF

Proc. Amer. Math. Soc. 126 (1998), 491-497 Request permission

Abstract:

We show that a theorem of Kisyński on the generation of Banach-algebra homomorphisms of certain convolution algebras is equivalent to the Hille-Yosida theorem on the generation of operator-valued one-parameter semigroups.

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