Dedekind <em>σ</em>-complete vector lattice of b-AM-compact operators

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

Published in: Quaestiones Mathematicae
Volume 40 , issue 3 , 2017 , pages: 313–318
DOI: 10.2989/16073606.2017.1286402
Author(s): Na Cheng School of Science, P.R. China
Keywords: 46A40 , 46B40 , 46B42 , 46A40 , 46B40 , 46B42
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Abstract

We give several equivalent conditions characterizing the case when 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.
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