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Artículo
Some properties and applications of equicompact sets of operators
dc.creator | Enrique Serrano Aguilar | es |
dc.creator | Cándido Piñeiro Gómez | es |
dc.creator | Juan Manuel Delgado Sánchez | es |
dc.date.accessioned | 2020-05-08T12:46:49Z | |
dc.date.available | 2020-05-08T12:46:49Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Enrique Serrano Aguilar, , Cándido Piñeiro Gómez, y Juan Manuel Delgado Sánchez, (2007). Some properties and applications of equicompact sets of operators. Studia Mathematica, 181 (2), 171-180. | |
dc.identifier.issn | 0039-3223 | es |
dc.identifier.uri | https://hdl.handle.net/11441/96304 | |
dc.description.abstract | Let X and Y be Banach spaces. A subset M of K(X,Y ) (the vector space of all compact operators from X into Y endowed with the operator norm) is said to be equicompact if every bounded sequence (xn) in X has a subsequence (xk(n))n such that (Txk(n))n is uniformly convergent for T ∈ M. We study the relationship between this concept and the notion of uniformly completely continuous set and give some applications. Among other results, we obtain a generalization of the classical Ascoli theorem and a compactness criterion in Mc(F,X), the Banach space of all (finitely additive) vector measures (with compact range) from a field F of sets into X endowed with the semivariation norm. | es |
dc.format | application/pdf | es |
dc.format.extent | 10 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 | Compact operators | es |
dc.subject | Equicompact sets of operators | es |
dc.subject | Collectively compact set | es |
dc.subject | Vector measures | es |
dc.subject | Ascoli’s theorem | es |
dc.title | Some properties and applications of equicompact sets of operators | 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/sm181-2-4 | es |
dc.journaltitle | Studia Mathematica | es |
dc.publication.volumen | 181 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 171 | es |
dc.publication.endPage | 180 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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sm181-2-04.pdf | 157.8Kb | [PDF] | Ver/ | |