# zbMATH — the first resource for mathematics

Measure of non-compactness and real interpolation of Banach triples. (English) Zbl 1150.46335
Summary: We investigate the behaviour under real interpolation for Banach triples of the measure $$\beta(T)$$ of non-compactness of an operator $$T$$. We begin with the case when one of the triples is reduced to a single Banach space and later we treat the general case.
##### MSC:
 46M35 Abstract interpolation of topological vector spaces 46B70 Interpolation between normed linear spaces