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handle: 10902/15919 , 10662/8580
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.
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
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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