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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Wojciech Chojnacki
Journal: Proc. Amer. Math. Soc. 126 (1998), 491-497
MSC (1991): Primary 46J25; Secondary 43A20, 47A10, 47D03
MathSciNet review: 1415577
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Abstract: We show that a theorem of Kisynski 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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Additional Information

Wojciech Chojnacki
Affiliation: Instytut Matematyki Stosowanej i Mechaniki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland; Department of Computer Science, University of Adelaide, Adelaide, SA 5005, Australia
Email: wojtekch@appli.mimuw.edu.pl, wojtek@cs.adelaide.edu.au

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04048-9
PII: S 0002-9939(98)04048-9
Keywords: Banach algebra, convolution algebra, one-parameter semigroup, representation, resolvent
Received by editor(s): April 22, 1996
Received by editor(s) in revised form: August 12, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society