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Results tagged with banach-spaces
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user 322144
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Are stable images closed?
If $X$ is a Banach space and $T : X \to X$ is a continuous linear operator with the property that $T^{n}X$ equals $T^{n+1}X$ for some $n \ge 1$, does it follow that $T^{n}X$ is a closed subspace?
