Publication: On the injection of a Köthe function space into L 1 (μ)
dc.contributor.author | Bombal Gordón, Fernando | |
dc.contributor.author | Hernando Boto, Beatriz | |
dc.date.accessioned | 2023-06-20T18:41:15Z | |
dc.date.available | 2023-06-20T18:41:15Z | |
dc.date.issued | 1995 | |
dc.description.abstract | Operators 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.department | Depto. de Análisis Matemático y Matemática Aplicada | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/20045 | |
dc.identifier.issn | 0373-8299 | |
dc.identifier.relatedurl | http://www.staff.amu.edu.pl/~commath/index.php?target=home&lang=en | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/58307 | |
dc.journal.title | Commentationes mathematicae | |
dc.page.final | 60 | |
dc.page.initial | 49 | |
dc.publisher | Panstwowe Wydawnictwo Nawkowe | |
dc.rights.accessRights | metadata only access | |
dc.subject.cdu | 517.982.2 | |
dc.subject.keyword | Köthe function | |
dc.subject.ucm | Geometría diferencial | |
dc.subject.ucm | Análisis funcional y teoría de operadores | |
dc.subject.unesco | 1204.04 Geometría Diferencial | |
dc.title | On the injection of a Köthe function space into L 1 (μ) | |
dc.type | journal article | |
dc.volume.number | 35 | |
dspace.entity.type | Publication |