Operators on anti-dual pairs: Supremum and infimum of positive operators
arXiv:2306.04402
Abstract
Our purpose in this note is to investigate the order properties of positive operators from a locally convex space into its conjugate dual. We introduce a natural generalization of the Busch-Gudder strength function and we prove Kadison's anti-lattice theorem and Ando's result on the infimum of positive operators in that context.
9 pages