On Lau’s conjecture
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- by Khadime Salame
- Proc. Amer. Math. Soc. 148 (2020), 343-350
- DOI: https://doi.org/10.1090/proc/14709
- Published electronically: July 30, 2019
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Corrigendum: Proc. Amer. Math. Soc. (to appear).
Abstract:
In 1976 during a conference in Halifax, A. Lau raised the question on whether left amenability property for a semitopological semigroup is sufficient to ensure the existence of a common fixed point for every jointly weak* continuous norm nonexpansive action on a nonempty weak* compact convex set in a dual Banach space. In this paper we establish a positive answer for discrete semigroups and for strongly left amenable semitopological semigroups.References
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Bibliographic Information
- Khadime Salame
- Affiliation: Diourbel, Senegal
- Email: khadime.salame1313@gmail.com
- Received by editor(s): April 6, 2019
- Received by editor(s) in revised form: April 9, 2019, May 14, 2019, and May 17, 2019
- Published electronically: July 30, 2019
- Communicated by: Stephen Dilworth
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 343-350
- MSC (2010): Primary 47H09, 47H10, 47H20; Secondary 43A07
- DOI: https://doi.org/10.1090/proc/14709
- MathSciNet review: 4042856