Nice Banach Modules and Invariant Subspaces

Stanislav Shkarin

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arXiv · 1209.0970

Nice Banach Modules and Invariant Subspaces

Stanislav Shkarin

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Abstract

Let $\A$ be a semisimple unital commutative Banach algebra. We say that a Banach $\A$-module $M$ is nice if every proper closed submodule of $M$ is contained in a closed submodule of $M$ of codimension 1. We provide examples of nice and non-nice modules.

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BibTeX RIS

Stanislav Shkarin. 2012-09-05. Nice Banach Modules and Invariant Subspaces. https://arxiv.org/abs/1209.0970

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