International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 1, Pages 83-92
doi:10.1155/S016117129100008X
An absolute continuity for positive operators on Banach lattices
W. Feldman1
, C. Piston1
and Calvin E. Piston3
1Department of Mathematics, University of Arkansas, Fayetteville 72701, Arkansas, USA
3Department of Mathematics, John Brown University, Siloam Springs 72761, Arkansas, USA
Abstract
For positive operators on a Banach lattice, absolute contnuity conditions are considered. An operator absolutely continuous with respect to T is compared to sums of compositions of T together with orthomorphisms or in special cases projections. Consequences For compact operators on functions spaces C(X) are considered.