COMPLEMENTED SUBLATTICES OF $\omega L_i$ ISONMORPHIC TO CLASSICAL BANACH LATTICES

  • Published : 1996.10.01

Abstract

We investigate complemented Banach subspaces of the Banach envelope of $eak L_1$. In particular, the Banach envelope of $weak L_1$ contains complemented Banach sublattices that are isometrically isomorphic to $l_p, (1 \leq p < \infty)$ or $c_0$. Finally, we also prove that the Banach envelope of $weak L_1$ contains an isomorphic copy of $l^{p, \infty}, (1 < p < \infty)$.

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