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arXiv · 2306.04402

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

Zsigmond Tarcsay·Ábel Göde
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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.

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Zsigmond Tarcsay, Ábel Göde. 2023-06-07. Operators on anti-dual pairs: Supremum and infimum of positive operators. https://arxiv.org/abs/2306.04402

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