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arXiv · 1702.00274

An ultraproduct method via left reversible semigroups to study Bruck's generalized conjecture

Fouad Naderi
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Abstract

We use a method similar to ultraproducts to study the common fixed point of a left reversible semitopological semigroup acting on a Banach space. As an application, we prove a Bruck-type theorem for nearly uniformly convex Banach spaces to the effect that such spaces have weak fixed point property for left reversible semigroups.

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Fouad Naderi. 2017-01-29. An ultraproduct method via left reversible semigroups to study Bruck's generalized conjecture. https://arxiv.org/abs/1702.00274

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