On some measures of non-compactness associated to Banach operator ideals

Manzano Rodríguez, Antonio; Mastyło, Mieczysław

doi:10.1016/j.jat.2022.105836

dc.contributor.author	Manzano Rodríguez, Antonio
dc.contributor.author	Mastyło, Mieczysław
dc.date.accessioned	2024-12-03T12:34:38Z
dc.date.available	2024-12-03T12:34:38Z
dc.date.issued	2023-01
dc.identifier.issn	0021-9045
dc.identifier.uri	http://hdl.handle.net/10259/9753
dc.description.abstract	We study two variants of measures of non-compactness of operators associated to a Banach operator ideal in the sense of Pietsch. These measures are motivated by the notions of surjective-ideal-compactness and injective-ideal-compactness, defined respectively by Carl and Stephani and by Stephani. Interpolation results on these measures in the cases of Banach couples generated by a single Banach space are given. As an application, we obtain interpolation theorems on p-compact operators and quasi p-nuclear operators.	en
dc.description.sponsorship	The first named author was supported by the Ministerio de Economía, Industria y Competitividad and FEDER under project MTM2017-84058-P. The second author was supported by the National Science Centre, Poland , Project no. 2019/33/B/ST1/00165.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Approximation Theory. 2023, V. 285, 105836	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Banach operator ideal	en
dc.subject	Measure of non-compactness	en
dc.subject	Intermediate space	en
dc.subject	Interpolation space	en
dc.subject	p-compact operator	en
dc.subject	Quasi p-nuclear operator	en
dc.subject.other	Análisis matemático	es
dc.subject.other	Mathematical analysis	en
dc.title	On some measures of non-compactness associated to Banach operator ideals	en
dc.type	info:eu-repo/semantics/article	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.relation.publisherversion	https://doi.org/10.1016/j.jat.2022.105836	es
dc.identifier.doi	10.1016/j.jat.2022.105836
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84058-P/ES/INTERPOLACION, ESPACIOS DE FUNCIONES Y COMPACIDAD DE OPERADORES/	es
dc.journal.title	Journal of Approximation Theory	en
dc.volume.number	285	es
dc.page.initial	105836	es
dc.type.hasVersion	info:eu-repo/semantics/acceptedVersion	es

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