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...

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Bibliographic Details

Published in:	Karpatsʹkì Matematičnì Publìkacìï
Main Authors:	M.L. Lourenço, V.C.C. Miranda
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2023-06-01
Subjects:	banach lattice dunford-pettis property gelfand-phillips property weak dunford-pettis property weak grothendieck property positive grothendieck property strong gelfand-phillips property
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/5905