Dilation invariant Banach limits
Functional Analysis
2019-10-25 v1
Abstract
We study two subclasses of Banach limits: the one consisting of Banach limits which are invariant with respect of the Ces\`aro operator and another one consists of Banach limits which are invariant with respect to all dilations. We prove that the first is a proper subset of the second. We also show that these classes are at the maximal distance from the set of all extreme points of the set of all Banach limits.
Keywords
Cite
@article{arxiv.1910.10899,
title = {Dilation invariant Banach limits},
author = {Evgenii Semenov and Fedor Sukochev and Alexandr Usachev and Dmitriy Zanin},
journal= {arXiv preprint arXiv:1910.10899},
year = {2019}
}
Comments
10 pages