English

Quotients, $\ell_\infty$ and abstract Ces\`aro spaces

Functional Analysis 2022-12-14 v1

Abstract

Investigating some re-arrangement properties of the norm in the quotient spaces X/XaX/X_a we determine the properties of the spaces XX guaranteeing the existence of a lattice isometric copy of \ell_\infty in the abstract Ces\`aro spaces CXCX.

Keywords

Cite

@article{arxiv.2109.05239,
  title  = {Quotients, $\ell_\infty$ and abstract Ces\`aro spaces},
  author = {Tomasz Kiwerski and Paweł Kolwicz and Jakub Tomaszewski},
  journal= {arXiv preprint arXiv:2109.05239},
  year   = {2022}
}

Comments

26 pages

R2 v1 2026-06-24T05:52:47.987Z