Remarks on strictly singular operators

Abstract

A continuous linear operator $T:E\to F$ 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 $LB(E,F)=L_s(E,F)$, which means that every continuous linear bounded operator defined on $E$ into $F$ is strictly singular.

arXiv comment8 pages

Cited by in corpus (1)

• On density and Bishop-Phelps-Bollobás type properties for the minimum norm