2026-08-20T01:27:25Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/97532025-01-17T09:24:57Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

On some measures of non-compactness associated to Banach operator ideals Manzano Rodríguez, Antonio Mastyło, Mieczysław Banach operator ideal Measure of non-compactness Intermediate space Interpolation space p-compact operator Quasi p-nuclear operator Análisis matemático Mathematical analysis 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. 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. 2024-12-03T12:34:38Z 2024-12-03T12:34:38Z 2023-01 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0021-9045 http://hdl.handle.net/10259/9753 10.1016/j.jat.2022.105836 eng Journal of Approximation Theory. 2023, V. 285, 105836 https://doi.org/10.1016/j.jat.2022.105836 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/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess application/pdf Elsevier https://riubu.ubu.es/bitstream/10259/9753/4/Manzano-jat_2023.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by-nc-nd/4.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/9753