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arXiv:2306.04402 [math.FA]AbstractReferencesReviewsResources

Operators on anti-dual pairs: Supremum and infimum of positive operators

Zsigmond Tarcsay, Ábel Göde

Published 2023-06-07Version 1

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.

Comments: 9 pages
Categories: math.FA
Subjects: 47B65, 46A20
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