Nice Banach Modules and Invariant Subspaces
classification
🧮 math.FA
keywords
banachniceclosedmodulessubmodulealgebracodimensioncommutative
read the original 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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