International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 1, Pages 93-98
doi:10.1155/S0161171291000091

On maximal measures with respect to a lattice

Abstract

Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Alternate proofs are then given extending the measure theoretic characterizations of a normal lattice to an arbitrary, non-negative finitely additive measure on the algebra generated by the lattice. Finally these general results are used to consider σ-smooth measures with respect to the lattice when further conditions on the lattice hold.