3 papers
math.FA2025
On a comprehensive review of a proof of Löwner's theorem
Curt Healey
Recent studies in Kubo-Ando theory make frequent use of the relationship between Kubo-Ando connections and positive operator monotone functions. This relationship is deeply connect…
math.OA2024
Extending surjective maps preserving the norm of symmetric kubo-ando means
Emmanuel Chetcuti, Curt Healey
Recently, the question of whether surjective maps preserving the norm of a symmetric Kubo-Ando mean can be extended to Jordan -isomorphisms has been tackled. The question was…
math.FA2023
Every symmetric Kubo-Ando connection has the order-determining property on
Emmanuel Chetcuti, Curt Healey
In \cite{molnar} L.~Molnar studied the question of whether the Löwner partial order on the positive cone of an operator algebra is determined by the norm of any arbitrary Kubo-Ando…