Main Article Content
Lattice properties of operators defined by random measures
Abstract
We prove that the lattice properties of operators
defined by random measures hold under general conditions on the measure space.
This solves a problem found in a paper of A.R. Sourour on these operators and
generalizes his results.
Mathematics Subject Classification (2000): 47B38, 47B65
Key words: Riesz space, random measure, pseudo-integral operator, order bounded operator, order continuous operator
Quaestiones Mathematicae 26(2003), 307–319
defined by random measures hold under general conditions on the measure space.
This solves a problem found in a paper of A.R. Sourour on these operators and
generalizes his results.
Mathematics Subject Classification (2000): 47B38, 47B65
Key words: Riesz space, random measure, pseudo-integral operator, order bounded operator, order continuous operator
Quaestiones Mathematicae 26(2003), 307–319
