Let $\A$ be a semisimple unital commutative Banach algebra. We say that aBanach $\A$-module $M$ is nice if every proper closed submodule of $M$ iscontained in a closed submodule of $M$ of codimension 1. We provide examples ofnice and non-nice modules.
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机译:令$ \ A $是一个半简单的单位交换Banach代数。我们说,如果每个适当的闭合子模块$ M $包含在余维1的$ M $的闭合子模块中,那么aBanach $ \ A $-模块$ M $就是很好的选择。我们提供了nice和nonnice模块的示例。
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