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

Abstract

We give several equivalent conditions characterizing the case when K^r_b-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