Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 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.

 

Regularization of semigroups that are strongly continuous for $t>0$
HTML articles powered by AMS MathViewer

by P. C. Kunstmann PDF
Proc. Amer. Math. Soc. 126 (1998), 2721-2724 Request permission

Abstract:

Let $E$ be a Banach space and $T:]0,\infty [\to L(E)$ a strongly continuous semigroup with $\bigcap _{t>0}\operatorname {Kern} T_t=\{0\}$. We show that the generator $A$ of $(T_t)$ generates a regularized semigroup. Our construction of a regularizing operator uses an existence result of J. Esterle.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47D03, 47D06
  • Retrieve articles in all journals with MSC (1991): 47D03, 47D06
Additional Information
  • P. C. Kunstmann
  • Affiliation: Mathematisches Seminar der Universität Kiel, Ludewig-Meyn-Straße 4, D–24098 Kiel, Germany
  • Address at time of publication: Mathematisches Institut I der Universität Karlsruhe, Englerstraße 2, Postfach 6980, D–76128 Karlsruhe, Germany
  • Email: peer.kunstmann@math.uni-karlsruhe.de
  • Received by editor(s): February 7, 1997
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2721-2724
  • MSC (1991): Primary 47D03, 47D06
  • DOI: https://doi.org/10.1090/S0002-9939-98-04636-X
  • MathSciNet review: 1473671