Cofan, Nicolae; Stan, Ilie Compact operators between interpolation spaces. (English) Zbl 1150.46009 An. Univ. Vest Timiş., Ser. Mat.-Inform. 45, No. 1, 149-157 (2007). Summary: We give necessary and sufficient conditions for compactness of operators acting between real \(\mathcal K\)-interpolation spaces for Banach triples. We also establish an estimate for the measure of non-compactness of an interpolation operator for an arbitrary interpolation method when an approximation hypothesis on the image Banach \(N +1\)-tuple is imposed. MSC: 46B70 Interpolation between normed linear spaces 46M35 Abstract interpolation of topological vector spaces Keywords:interpolation; compact operators; measure of non-compactness PDF BibTeX XML Cite \textit{N. Cofan} and \textit{I. Stan}, An. Univ. Vest Timiş., Ser. Mat.-Inform. 45, No. 1, 149--157 (2007; Zbl 1150.46009)