B. Aqzzouz, A. Elbour
Abstract
We establish some characterizations of the Schur property (resp. positive Schur property) of Banach lattices by the compactness (resp. L-weak compactness, M-weak compactness) of weakly compact (resp. positive weakly compact) operators.
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We establish some characterizations of the Schur property (resp. positive Schur property) of Banach lattices by the compactness (resp. L-weak compactness, M-weak compactness) of weakly compact (resp. positive weakly compact) operators.
Key concepts: Compact space, Mathematics, Approximation property, Schur's theorem, Property (philosophy), Pure mathematics, Compact operator, Eberlein–Šmulian theorem