The Order Properties of r.compact Operators on Banach Lattices

Authors
Chen, Zi Li Wickstead, A.W.
Citation
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
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
3
Year of publication
2007
Pages
457 - 466
Database
ACNP
SICI code
Abstract
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.