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http://dx.doi.org/10.4134/CKMS.2007.22.2.209

COMPLEMENTED SUBLATTICE OF THE BANACH ENVELOPE OF WeakL1 ISOMORPHIC TO ℓp  

Kang, Jeong-Heung (DEPARTMENT OF MATHEMATICS KOREA MILITARY ACADEMY)
Publication Information
Communications of the Korean Mathematical Society / v.22, no.2, 2007 , pp. 209-218 More about this Journal
Abstract
In this paper we investigate the ${\ell}^p$ space structure of the Banach envelope of $WeakL_1$. In particular, the Banach envelope of $WeakL_1$ contains a complemented Banach sublattice that is isometrically isomorphic to the nonseparable Banach lattice ${\ell}^p$, ($1{\leq}p<\infty$) as well as the separable case.
Keywords
complemented sublattices; Banach envelope of $WeakL_1$;
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