We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The Order Properties of r–compact Operators on Banach Lattices.
- Authors
Zi Li Chen; Wickstead, A. W.
- Abstract
We present here that ℱ( E,F), the space of all r–compact operators from E into F, is a generalised sublattice of ℒ r ( E,F) for arbitary Banach lattices E and F, and that the characterization of the regular norm on ℱ( E,F) is order continuous. Some conditions for ℱ( E,F) to be a KB–space or a band in ℒ r ( E,F) are also provided.
- Subjects
BANACH lattices; RIESZ spaces; COMPACT operators; LATTICE theory; CAUCHY problem
- Publication
Acta Mathematica Sinica, 2007, Vol 23, Issue 3, p457
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-005-0783-2