paper

Quantifications of strictly singular operators and strictly cosingular operators

arXiv:1608.07495

Abstract

We investigate possible quantifications of strictly singular operators, $l_{p}$ -strictly singular operators, $c_{0}$ -strictly singular operators, strictly cosingular operators, $l_{p}$ -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.