An example of a weighted algebra $L_p^w(G)$ on uncountable group
Functional Analysis
2012-06-28 v1
Abstract
We construct examples of weighted algebras with on uncountable free groups. For no weighted algebras exist on these groups. From the other side, we prove that an amenable group on which exist weighted algebras with must be sigma-compact.
Cite
@article{arxiv.0805.0283,
title = {An example of a weighted algebra $L_p^w(G)$ on uncountable group},
author = {Yulia Kuznetsova},
journal= {arXiv preprint arXiv:0805.0283},
year = {2012}
}