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Remarks on strictly singular operators

Functional Analysis 2018-04-13 v5

Abstract

A continuous linear operator T:EFT:E \to F is called strictly singular if it cannot be invertible on any infinite dimensional closed subspace of its domain. In this note we discuss sufficient conditions and consequences of the phenomenon LB(E,F)=Ls(E,F)LB(E,F)=L_s(E,F), which means that every continuous linear bounded operator defined on EE into FF is strictly singular.

Keywords

Cite

@article{arxiv.1412.5761,
  title  = {Remarks on strictly singular operators},
  author = {Ersin Kızgut and Murat Yurdakul},
  journal= {arXiv preprint arXiv:1412.5761},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-22T07:36:29.034Z