Strictly Singular Operators on Banach Lattices

Francisco L. Hernández; Evgeny M. Semenov

doi:10.14321/realanalexch.44.1.0037

Abstract

We survey several properties of the class of strictly singular operators defined on Banach lattices of measurable functions and rearrangement invariant function spaces. The related classes of disjointly strictly singular operators and super strictly singular operators are also discussed. In particular we present interpolation properties of strictly singular operators between \(L_p-L_q\) spaces.

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Francisco L. Hernández. Evgeny M. Semenov. "Strictly Singular Operators on Banach Lattices." Real Anal. Exchange 44 (1) 37 - 48, 2019. https://doi.org/10.14321/realanalexch.44.1.0037

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Published: 2019

First available in Project Euclid: 27 June 2019

zbMATH: 07088961

MathSciNet: MR3951332

Digital Object Identifier: 10.14321/realanalexch.44.1.0037

Subjects:

Primary: 46B42 , 47B60

Keywords: Disjointly strictly singular operators , invariant function spaces , rearrangement , Strictly singular operators

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