an:05622016
Zbl 1199.46165
B??rb??tei, O.; Cofan, Nicolae; Stan, Ilie; Hedrea, Ciprian
Measure of non-compactness and Sparr's interpolation methods
EN
An. Univ. Vest Timi??., Ser. Mat.-Inform. 46, No. 2, 13-24 (2008).
00254730
2008
j
46M35 46B70
interpolation methods; interpolation of compact operators
Summary: We establish an estimate for the measure \(\beta (T)\) of non-compactness of an operator \(T\) acting from some intermediate spaces \(A\) with respect to Banach \(n\)-tuples \(\overline A\) into some intermediate space \(B\) with respect to Banach \(n\)-tuples \(\overline B\). We begin with the case when one of the \(n\)-tuples is reduced to a single Banach space and, later, we will treat the general case.