$Nonatomic submeasures on $\mathbb N$ and the Banach space $\ell_1$$

Nonatomic submeasures on $\mathbb N$ and the Banach space $\ell_1$

Nonatomic bounded sequences in $\ell_1$, that is, those giving rise to nonatomic submeasures on $\mathbb N$ are introduced and shown to form a closed subspace nonat$(\ell_1)$ of $\ell_\infty(\ell_1)$, and some spaces of relevant operators in $\ell_1$ are considered.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2021-06
1. Verfasser:	Drewnowski, Lech
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach spaces
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Nonatomic bounded sequences in $\ell_1$, that is, those giving rise to nonatomic submeasures on $\mathbb N$ are introduced and shown to form a closed subspace nonat$(\ell_1)$ of $\ell_\infty(\ell_1)$, and some spaces of relevant operators in $\ell_1$ are considered.
ISSN:	2331-8422

Zusammenfassung:	Nonatomic bounded sequences in \(\ell_1\), that is, those giving rise to nonatomic submeasures on \(\mathbb N\) are introduced and shown to form a closed subspace nonat\((\ell_1)\) of \(\ell_\infty(\ell_1)\), and some spaces of relevant operators in \(\ell_1\) are considered.
ISSN:	2331-8422

Nonatomic submeasures on \(\mathbb N\) and the Banach space \(\ell_1\)