
doi: 10.1007/bf02673034
In the class of Banach function spaces with order continuous norm, the author reduces the notion of compactness in measure for a subset of a function space to some equality between two numerical characteristics of the subset.
Linear operators defined by compactness properties, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Banach function space, order continuous norm, measure of non-compactness, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Linear operators defined by compactness properties, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Banach function space, order continuous norm, measure of non-compactness, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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