Publication:
A factorization formula for some entropy ideals

dc.contributor.authorCobos, Fernando
dc.contributor.authorResina, Ivam
dc.contributor.authorSoria, Fernando
dc.date.accessioned2023-06-20T18:52:01Z
dc.date.available2023-06-20T18:52:01Z
dc.date.issued1988
dc.description.abstractThe paper deals with the entropy ideals generated by the Lorentz- Marcinkiewicz spaces of the type λ ∞ (ϕ) where ϕ is a function parameter. The entropy ideal generated by λ ∞ (ϕ) is the set of all operators between Banach spaces whose sequence of the entropy numbers belongs to λ ∞ (ϕ). The entropy ideals play an important role in the characterization of the degree of compactness of weakly singular integral operators. As a continuation of F. Cobos' investigation of the entropy ideals of the type λ p (ϕ), the authors prove a factorization formula saying that the entropy ideal corresponding to the product of two function parameters is the product of the entropy ideals corresponding to the factors. The proof uses the interpolation with function parameters and as a by-product, the authors obtain informations on the behaviour of the entropy numbers under the interpolation.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipFAPEST-Brasil
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/23331
dc.identifier.issn1123-2536
dc.identifier.officialurlhttp://siba-ese.unisalento.it/index.php/notemat
dc.identifier.urihttps://hdl.handle.net/20.500.14352/58808
dc.issue.number1
dc.journal.titleNote di Matematica
dc.language.isoeng
dc.page.final65
dc.page.initial57
dc.publisherUniversità del Salento
dc.relation.projectID86-0964-0
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.cdu517.98
dc.subject.keywordEntropy ideals
dc.subject.keywordLorentz-Marcinkiewicz spaces
dc.subject.keywordoperators between Banach spaces
dc.subject.keywordentropy numbers
dc.subject.keyworddegree of compactness of weakly singular integral operators
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleA factorization formula for some entropy ideals
dc.typejournal article
dc.volume.number8
dspace.entity.typePublication
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