On Lau’s conjecture II
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Abstract:
In this paper we are concerned with the study of a long-standing open problem posed by Lau in 1976. This problem is about whether the left amenability property of the space of left uniformly continuous functions of a semitopological semigroup is equivalent to the existence of a common fixed point for every jointly weak* continuous norm nonexpansive action on a nonempty weak* compact convex subset of a dual Banach space. We establish in this paper a positive answer.References
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Additional Information
- Khadime Salame
- Affiliation: Diourbel, Senegal
- MR Author ID: 1188674
- Email: khadime.salame1313@gmail.com
- Received by editor(s): July 24, 2019
- Published electronically: January 29, 2020
- Communicated by: Stephen Dilworth
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1999-2008
- MSC (2010): Primary 47H10, 47H20; Secondary 43A07
- DOI: https://doi.org/10.1090/proc/14893
- MathSciNet review: 4078084
Dedicated: This paper is dedicated to Khadime Rassoul (PBUH) for his courage and bravery