Nice Banach Modules and Invariant Subspaces
Functional Analysis
2012-09-06 v1
Abstract
Let be a semisimple unital commutative Banach algebra. We say that a Banach -module is nice if every proper closed submodule of is contained in a closed submodule of of codimension 1. We provide examples of nice and non-nice modules.
Keywords
Cite
@article{arxiv.1209.0970,
title = {Nice Banach Modules and Invariant Subspaces},
author = {Stanislav Shkarin},
journal= {arXiv preprint arXiv:1209.0970},
year = {2012}
}