English

Quantifications of strictly singular operators and strictly cosingular operators

Functional Analysis 2016-08-29 v1

Abstract

We investigate possible quantifications of strictly singular operators, lpl_{p}-strictly singular operators, c0c_{0}-strictly singular operators, strictly cosingular operators, lpl_{p}-strictly cosingular operators. We prove quantitative, even strengthening versions of well-known results about relationships of these five classes of operators and compact, weakly compact, unconditionally converging operators.

Keywords

Cite

@article{arxiv.1608.07495,
  title  = {Quantifications of strictly singular operators and strictly cosingular operators},
  author = {Lei Li and Dongyang Chen},
  journal= {arXiv preprint arXiv:1608.07495},
  year   = {2016}
}
R2 v1 2026-06-22T15:32:04.761Z