an:05267115
Zbl 1150.46009
Cofan, Nicolae; Stan, Ilie
Compact operators between interpolation spaces
EN
An. Univ. Vest Timi??., Ser. Mat.-Inform. 45, No. 1, 149-157 (2007).
00216502
2007
j
46B70 46M35
interpolation; compact operators; measure of non-compactness
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.