Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 4
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- Pages.1015-1030
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
COMPLEMENTED SUBLATTICES OF $\omega L_i$ ISONMORPHIC TO CLASSICAL BANACH LATTICES
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 $l^{p, \infty}, (1 < p < \infty)$.