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

Lech Drewnowski

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

Functional Analysis 2021-06-16 v1

Authors: Lech Drewnowski

Abstract

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.

Keywords

banach spaces operator theory on banach spaces

Cite

@article{arxiv.2106.08196,
  title  = {Nonatomic submeasures on $\mathbb N$ and the Banach space $\ell_1$},
  author = {Lech Drewnowski},
  journal= {arXiv preprint arXiv:2106.08196},
  year   = {2021}
}

Comments

6 pages

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