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arxiv: 1509.01499 · v1 · pith:IKNIEYCAnew · submitted 2015-09-04 · 🧮 math.FA

Disjointly homogeneous Banach lattices and applications

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keywords banachdisjointlyhomogeneouslatticesadditionallowinganalyzedapplicactions
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This is a survey on disjointly homogeneous Banach lattices and their applicactions. Several structural properties of this class are analyzed. In addition we show how these spaces provide a natural framework for studying the compactness of powers of operators allowing for a unified treatment of well-known results.

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