2 papers
math.FA2026
Operators on anti-dual pairs: Means of positive operators
Zsigmond Tarcsay, Ábel Göde
We develop a theory of Kubo-Ando type means for positive operators on anti-dual pairs. This framework extends the classical theory of operator means beyond bounded Hilbert space op…
math.FA2023
Operators on anti-dual pairs: Supremum and infimum of positive operators
Zsigmond Tarcsay, Ábel Göde
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…