RT info:eu-repo/semantics/article
T1 On some measures of non-compactness associated to Banach operator ideals
A1 Manzano Rodríguez, Antonio
A1 Mastyło, Mieczysław
K1 Banach operator ideal
K1 Measure of non-compactness
K1 Intermediate space
K1 Interpolation space
K1 p-compact operator
K1 Quasi p-nuclear operator
K1 Análisis matemático
K1 Mathematical analysis
AB 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.
PB Elsevier
SN 0021-9045
YR 2023
FD 2023-01
LK http://hdl.handle.net/10259/9753
UL http://hdl.handle.net/10259/9753
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Burgos
RD 04-dic-2024