Abstract

It is shown that ifX is a complemented subspace of (Σ\(l_2 )_{l_p } \) (1<p<∞), thenX is isomorphic to eitherl2,lp,l2⊗lp or (Σ\(l_2 )_{l_p } \). IfX is a complemented subspace ofCp(1<p<∞) which does not contain an isomorph of (Σ which does not contain an isomorph of thenX is isomorphic to a complemented subspace of (Σ\(l_2 )_{l_p } \) ⊗l2.

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