Let $X$ be a Banach space, $Y$ be a norm linear space, $(A_n)\in \Bbb B(X,Y)$ be such that for every $x\in X, ||(A_n-A)x||\rightarrow0$ for some $A\in \Bbb B(X,Y)$. If $K:X\rightarrow Y$ is a compact operator, then prove that $||(A_n-A)K||\rightarrow 0$
2026-03-27 18:00:03.1774634403
Prove the following corollary.
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