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Quaestiones Mathematicae

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Dedekind σ-complete vector lattice of b-AM-compact operators

Na Cheng

Abstract


We give several equivalent conditions characterizing the case when Krb-AM(E,F) is Dedekind σ-complete. Moreover, we describe the case when the space of all regular b-AM-compact operators from E to F is complete under the b-AM-norm.

Keywords: Banach lattices, b-AM-compact operator, discrete space




http://dx.doi.org/10.2989/16073606.2017.1286402
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