On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem
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- by Wojciech Chojnacki
- Proc. Amer. Math. Soc. 126 (1998), 491-497
- DOI: https://doi.org/10.1090/S0002-9939-98-04048-9
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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.References
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Bibliographic 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
- Received by editor(s): April 22, 1996
- Received by editor(s) in revised form: August 12, 1996
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 491-497
- MSC (1991): Primary 46J25; Secondary 43A20, 47A10, 47D03
- DOI: https://doi.org/10.1090/S0002-9939-98-04048-9
- MathSciNet review: 1415577