A note on the Banach lattice $c_0( \ell_2^n)$, its dual and its bidual
In: Karpatsʹkì Matematičnì Publìkacìï, Jg. 15 (2023), Heft 1, S. 270-277
Online
academicJournal
Zugriff:
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 have the positive Grothendieck property. We also prove that the closed unit ball of $l_{\infty}(\ell_2^n)$ is an almost limited set.
| Titel: |
A note on the Banach lattice $c_0( \ell_2^n)$, its dual and its bidual
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| Autor/in / Beteiligte Person: | Lourenço, M.L. ; Miranda, V.C.C. |
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| Zeitschrift: | Karpatsʹkì Matematičnì Publìkacìï, Jg. 15 (2023), Heft 1, S. 270-277 |
| Veröffentlichung: | Vasyl Stefanyk Precarpathian National University, 2023 |
| Medientyp: | academicJournal |
| ISSN: | 2075-9827 (print) ; 2313-0210 (print) |
| DOI: | 10.15330/cmp.15.1.270-277 |
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