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arXiv · 1608.07495

Quantifications of strictly singular operators and strictly cosingular operators

Lei Li·Dongyang Chen
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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.

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Lei Li, Dongyang Chen. 2016-08-26. Quantifications of strictly singular operators and strictly cosingular operators. https://arxiv.org/abs/1608.07495

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