Operators on anti-dual pairs: Supremum and infimum of positive operators
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2023
- DOI:
- arXiv:
- arXiv:2306.04402
- Bibcode:
- 2023arXiv230604402T
- Keywords:
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- Mathematics - Functional Analysis;
- 47B65;
- 46A20
- E-Print:
- 9 pages