An ultraproduct method via left reversible semigroups to study Bruck's generalized conjecture
Functional Analysis
2017-02-02 v1
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.
Cite
@article{arxiv.1702.00274,
title = {An ultraproduct method via left reversible semigroups to study Bruck's generalized conjecture},
author = {Fouad Naderi},
journal= {arXiv preprint arXiv:1702.00274},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1612.08286