Is image of ball of finite rank linear operator is compact? – math.stackexchange.com

Is image of ball of finite rank linear operator is compact? – math.stackexchange.com

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Let $X$ be a complex Banach space and $A:X\to \mathbb{C}^{n}$ be a continuous linear map. If $B_{X} = \{x\in X\,:\, ||x||\leq 1\}$ is a closed unit ball in $X$, is it true that $A(B_{X})$ is compact ...

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