If A*A is a compact operator, is A compact?

  • Thread starter elina
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Hi, if I know that A is continuous and linear and A*A is compact, where A* is the adjungate, how will I show that A has to be compact?
 

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  • #2
gel
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You could try using the http://en.wikipedia.org/wiki/Polar_decomposition" [Broken].
 
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