A note on the Banach lattice $c_0( \ell_2^n)$, its dual and its bidual

The main purpose of this paper is to study some geometric and topological properties of $c_0$-sum of the finite dimensional Banach lattice $\ell_2^n$, its dual and its bidual. Among other results, we show that the Banach lattice $c_0(\ell_2^n)$ has the strong Gelfand-Philips property, but does not h...

Full description

Bibliographic Details
Main Authors: M.L. Lourenço, V.C.C. Miranda
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2023-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5905