Chen, Zi Li et Wickstead, A.w, The Order Properties of r.compact Operators on Banach Lattices, Acta mathematica Sinica. English series (Print) , 23(3), 2007, pp. 457-466
We present here that .(E,F), the space of all r.compact operators from E into F, is a generalised sublattice of .r(E,F) for arbitary Banach lattices E and F, and that the characterization of the regular norm on .(E,F) is order continuous. Some conditions for .(E,F) to be a KB.space or a band in .r(E,F) are also provided.