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Three-operator Problems in Banach Spaces

Three-operator problems in Banach spaces
Authors: Fernández Castillo, Jesús M.; Chō, Muneo; González, Manuel;

Three-operator Problems in Banach Spaces

Abstract

The research of the first author was supported in part by Project IB16056 de la Junta de Extremadura; that of the first and third authors was supported in part by MINECO (Spain), Project MTM2016-76958. This paper benefited from a stay in 2016 of Castillo and González at Kanagawa University invited by Prof. Cho.

ABSTRACT: We study the analogue of 3-space problems for classes of operators acting on Banach spaces. We show examples of classes of operators having or failing the 3-operator property, and give several methods to obtain classes with this property.

Keywords

Lifting operators, Isomorphic theory (including renorming) of Banach spaces, Ultraproduct techniques in Banach space theory, 1202.03 Álgebra y Espacios de Banach, lifting operators, extending operators, Semigroup, three-space property, 530, 510, operator ideal, Operator ideals, Duality and reflexivity in normed linear and Banach spaces, Extending operators, Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.), semigroup, Three-space property, Operator ideal, QA1-939, Mathematics

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selected citations
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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