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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
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