Hi, friends! I find an interesting unproven statement in my functional analysis book saying the image of the closed unit sphere through a compact linear operator, defined on a linear variety of a Banach space ##E##, is compact if ##E## is reflexive.(adsbygoogle = window.adsbygoogle || []).push({});

Do anybody know a proof of the statement?

##\infty## thanks!!!

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# Compact operator in reflexive space compact

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