Article
Duality of measures of non-A-compactness
dc.creator | Delgado Sánchez, Juan Manuel | es |
dc.creator | Piñeiro Gómez, Cándido | es |
dc.date.accessioned | 2020-05-08T12:46:17Z | |
dc.date.available | 2020-05-08T12:46:17Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Juan Manuel Delgado Sánchez, y Cándido Piñeiro Gómez, (2015). Duality of measures of non-A-compactness. Studia Mathematica, 229 (2), 95-112. | |
dc.identifier.issn | 0039-3223 | es |
dc.identifier.uri | https://hdl.handle.net/11441/96303 | |
dc.description.abstract | Let A be a Banach operator ideal. Based on the notion of A-compactness in a Banach space due to Carl and Stephani, we deal with the notion of measure of non-A-compactness of an operator. We consider a map χA (respectively, nA) acting on the operators of the surjective (respectively, injective) hull of A such that χA(T) = 0 (respectively, nA(T) = 0) if and only if the operator T is A-compact (respectively, injectively A-compact). Under certain conditions on the ideal A, we prove an equivalence inequality involving χA(T∗) and nAd(T). This inequality provides an extension of a previous result stating that an operator is quasi p-nuclear if and only if its adjoint is p-compact in the sense of Sinha and Karn. | es |
dc.format | application/pdf | es |
dc.format.extent | 18 p. | es |
dc.language.iso | eng | es |
dc.publisher | Polskiej Akademii Nauk, Instytut Matematyczny | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Measure of non compactness | es |
dc.subject | Compact set | es |
dc.subject | Operator ideal | es |
dc.subject | p-summing operator | es |
dc.subject | p-compact operator | es |
dc.subject | Essential norm | es |
dc.title | Duality of measures of non-A-compactness | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Departamento de Matemática Aplicada I | es |
dc.identifier.doi | 10.4064/sm7984-1-2016 | es |
dc.journaltitle | Studia Mathematica | es |
dc.publication.volumen | 229 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 95 | es |
dc.publication.endPage | 112 | es |
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sm7984-1-2016 (1).pdf | 343.1Kb | [PDF] | View/ | |