English

Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators

Functional Analysis 2008-06-03 v1

Abstract

The class of strictly singular operators originating from the dual of a separable Banach space is written as an increasing union of ω1\omega_1 subclasses which are defined using the Schreier sets. A question of J. Diestel, of whether a similar result can be stated for strictly cosingular operators, is studied.

Keywords

Cite

@article{arxiv.0806.0056,
  title  = {Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators},
  author = {G. Androulakis and K. Beanland},
  journal= {arXiv preprint arXiv:0806.0056},
  year   = {2008}
}
R2 v1 2026-06-21T10:46:05.023Z