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On complemented subspaces of (Σ\(l_2 )_{l_p } \)

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Abstract

It is shown that ifX is a complemented subspace of (Σ\(l_2 )_{l_p } \) (1<p<∞), thenX is isomorphic to eitherl 2,l p,l 2⊗l p or (Σ\(l_2 )_{l_p } \). IfX is a complemented subspace ofC p(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\(l_2 )_{l_p } \) ⊗l 2.

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Authors and Affiliations

  1. Yale University, New Haven, Conn., U.S.A.

    E. Odell

  2. Ohio State University, Columbus, Ohio, U.S.A.

    E. Odell

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  1. E. Odell
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Additional information

This research was partially supported by NSF MPS 72-04634-A03.

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Odell, E. On complemented subspaces of (Σ\(l_2 )_{l_p } \) . Israel J. Math. 23, 353–367 (1976). https://doi.org/10.1007/BF02761814

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  • DOI: https://doi.org/10.1007/BF02761814

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