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 Post subject: Compact linear maps
PostPosted: Sat, 31 Jan 2009 09:45:07 UTC 
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Prove that any continuous linear map \ell_p\to\ell_q is compact, where p>q≥1.


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PostPosted: Fri, 20 Mar 2009 01:02:34 UTC 
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What are the \ell_i?

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PostPosted: Fri, 20 Mar 2009 01:47:29 UTC 
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The sequence space \ell_p=\{(x_n)_{n\geq 0}\mid \sum \lvert x_n\rvert^p<\infty\}.


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