On ℓ∞- Grothendieck subspaces

González Ortiz, Manuel; León Saavedra, Fernando; Romero de la Rosa, María del Pilar

doi:10.1016/j.jmaa.2020.124857

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ON l1-GROTHENDIECK ... (112.8Kb)

Identificadores

URI: http://hdl.handle.net/10902/24589

DOI: 10.1016/j.jmaa.2020.124857

ISSN: 0022-247X

ISSN: 1096-0813

Fecha

2021

Derechos

Publicado en

Journal of Mathematical Analysis and Applications, 2021, 497, 124857

Editorial

Academic Press Inc.

Enlace a la publicación

https://doi.org/10.1016/j.jmaa.2020.124857

Palabras clave

Grothendieck Banach space

ℓ∞-Grothendieck subspace

Resumen/Abstract

A closed subspace S of l - is said to be a l -Grothendieck subspace if co c S (hence l - c S**) and every [sigma] (S*, S)-convergent sequence in S* is [sigma](S*, l)-convergent. Here we give examples of closed subspaces of l- containing co which are or fail to be l -Grothendiec.

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© <2020>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/ licenses/by-nc-nd/4.0/

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