COMPLEMENTED SUBLATTICE OF THE BANACH ENVELOPE OF WeakL1 ISOMORPHIC TO ℓp

Title & Authors
COMPLEMENTED SUBLATTICE OF THE BANACH ENVELOPE OF WeakL1 ISOMORPHIC TO ℓp
Kang, Jeong-Heung;

Abstract
In this paper we investigate the $\small{{\ell}^p}$ space structure of the Banach envelope of $\small{WeakL_1}$. In particular, the Banach envelope of $\small{WeakL_1}$ contains a complemented Banach sublattice that is isometrically isomorphic to the nonseparable Banach lattice $\small{{\ell}^p}$, ($1{\leq}p<\infty$) as well as the separable case.
Keywords
complemented sublattices;Banach envelope of $\small{WeakL_1}$;
Language
English
Cited by
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