Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the equivalence of a theorem of Kisynski and the Hille-Yosida generation theorem
HTML articles powered by AMS MathViewer

by Wojciech Chojnacki
Proc. Amer. Math. Soc. 126 (1998), 491-497
DOI: https://doi.org/10.1090/S0002-9939-98-04048-9

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
  • W. Arendt, Vector-valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327–352.
  • H. F. Bohnenblust and S. Karlin, Geometrical properties of the unit sphere of Banach algebras, Ann. of Math. (2) 62 (1955), 217–229.
  • B. Hennig and F. Neubrander, On representations, inversions, and approximations of Laplace transforms in Banach spaces, Applicable Anal. 49 (1993), 151–170.
  • J. Kisyński, personal communication.
  • F. Neubrander, The Laplace-Stieltjes transform in Banach spaces and abstract Cauchy problems, Evolution equations, control theory, and biomathematics: proceedings of the Han-sur-Lesse conference (Ph. Clément and G. Lumer, eds.), Lecture Notes in Pure and Applied Mathematics, vol. 155, Marcel Dekker, Basel, 1994, pp. 417–431.
  • K. Yosida, Functional Analysis, 5 ed., Springer-Verlag, Berlin, Heidelberg, New York, 1978.
Similar Articles
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