Finding a norm 1+epsilon projection onto a subspace of Lp
$begingroup$
Hey guys I have a quick question. Let $mu$ be a probability measure and let $E$ be a closed subspace of $L_p(mu)$, $1leq pleq infty$ which has either finite dimension or codimension. For any $epsilon>0$, is it always possible to find a linear projection onto $E$ of norm $<1+epsilon$?
Thanks!
functional-analysis banach-spaces lp-spaces
asked Jan 16 at 20:38
Ben WBen W
2,734918
$endgroup$
add a comment |
$begingroup$
Hey guys I have a quick question. Let $mu$ be a probability measure and let $E$ be a closed subspace of $L_p(mu)$, $1leq pleq infty$ which has either finite dimension or codimension. For any $epsilon>0$, is it always possible to find a linear projection onto $E$ of norm $<1+epsilon$?
Thanks!
functional-analysis banach-spaces lp-spaces
asked Jan 16 at 20:38
Ben WBen W
2,734918
$endgroup$
add a comment |
$begingroup$
Hey guys I have a quick question. Let $mu$ be a probability measure and let $E$ be a closed subspace of $L_p(mu)$, $1leq pleq infty$ which has either finite dimension or codimension. For any $epsilon>0$, is it always possible to find a linear projection onto $E$ of norm $<1+epsilon$?
Thanks!
functional-analysis banach-spaces lp-spaces
asked Jan 16 at 20:38
Ben WBen W
2,734918
$endgroup$
Hey guys I have a quick question. Let $mu$ be a probability measure and let $E$ be a closed subspace of $L_p(mu)$, $1leq pleq infty$ which has either finite dimension or codimension. For any $epsilon>0$, is it always possible to find a linear projection onto $E$ of norm $<1+epsilon$?
Thanks!
functional-analysis banach-spaces lp-spaces
functional-analysis banach-spaces lp-spaces
asked Jan 16 at 20:38
Ben WBen W
2,734918
asked Jan 16 at 20:38
Ben WBen W
2,734918
asked Jan 16 at 20:38
Ben WBen W
2,734918
asked Jan 16 at 20:38
Ben WBen W
2,734918
asked Jan 16 at 20:38
Ben WBen W
2,734918
2,734918
add a comment |
add a comment |
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