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On the injection of a Köthe function space into L 1 (μ)

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dc.contributor.authorBombal Gordón, Fernando
dc.contributor.authorHernando Boto, Beatriz
dc.date.accessioned2023-06-20T18:41:15Z
dc.date.available2023-06-20T18:41:15Z
dc.date.issued1995
dc.description.abstractOperators from a Banach space X into a Banach space Y weaker than isomorphisms and, nevertheless, preserving some isomorphic property, i.e. such that a good property of Y lifts to X, have been studied by many authors. This note is also devoted to that study; more precisely, given a complete σ-finite measure space (Ω,Σ,μ) into L1(μ) and given necessary and sufficient conditions for such an operator to be a Tauberian or semi-Tauberian operator, a semi-embedding or a ∗∗-injection, in the case when X is an Orlicz space, it is also proved that these conditions are equivalent to the reflexivity of X. The results obtained are applied to deduce properties of the vector-valued Köthe function space X(E), E a Banach space, from the corresponding properties of L1(μ,E).
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/20045
dc.identifier.issn0373-8299
dc.identifier.relatedurlhttp://www.staff.amu.edu.pl/~commath/index.php?target=home&lang=en
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58307
dc.journal.titleCommentationes mathematicae
dc.page.final60
dc.page.initial49
dc.publisherPanstwowe Wydawnictwo Nawkowe
dc.rights.accessRightsmetadata only access
dc.subject.cdu517.982.2
dc.subject.keywordKöthe function
dc.subject.ucmGeometría diferencial
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleOn the injection of a Köthe function space into L 1 (μ)
dc.typejournal article
dc.volume.number35
dspace.entity.typePublication
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