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Complemented isometric copies of in dual Banach spaces
Authors:J. Hagler
Affiliation:Department of Mathematics, University of Denver, Denver, Colorado 80208
Abstract:Let $X$ be a real or complex Banach space and $Kgeq1$. Then $X^{ast}$contains a $K$-complemented, isometric copy of $L_{1}left[ 0,1right] $ if and only if $X^{ast}$ contains a $K$-complemented, isometric copy of $Cleft[0,1right] ^{ast}$ if and only if $X$ contains a subspace $left( 1,Kright) $-asymptotic to $left( ell_{1}oplussum_{n}ell_{infty} ^{n}right)_{1}$.

Keywords:Banach spaces   complemented isometric copies of $L_1$   $left( 1  Kright) $emph{-}asymptotic copies ofemph{ }$left( ell_{1}oplussum_{n}ell_{infty}^{n}right) _{1}$
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