Let $A$ and $B$ be compact operators in Hilbert space $H$ and Im$A \subset$ Im$B$.
Can you help me please to prove that if $B\in S_p(H)$ then $A\in S_p(H)$?
I have no idea.
Let $A$ and $B$ be compact operators in Hilbert space $H$ and Im$A \subset$ Im$B$.
Can you help me please to prove that if $B\in S_p(H)$ then $A\in S_p(H)$?
I have no idea.
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