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Asymptotical smoothness and its applications

Published online by Cambridge University Press:  17 April 2009

Wiesława Kaczor  and
Stanisław Prus
Wiesława Kaczor
Affiliation:
Instytut Matematyki, University M. Curie-Sklodowska, 20–031 Lublin, Poland e-mail: wkaczor@golem.umcs.lublin.pl, bsprus@golem.umcs.lublin.pl
Stanisław Prus
Affiliation:
Instytut Matematyki, University M. Curie-Sklodowska, 20–031 Lublin, Poland e-mail: wkaczor@golem.umcs.lublin.pl, bsprus@golem.umcs.lublin.pl
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In this paper we introduce the notion of asymptotical smoothness of a Banach space and show that it is strongly related to the Kadec-Klee property. This notion is then applied to obtain new theorems about weak convergence of almost orbits of three various types of semigroups of mappings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 405 - 418
Copyright
Copyright © Australian Mathematical Society 2002

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