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Curt Healey: Every symmetric Kubo-Ando connection has the order-determining property on unital C* algebra

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Kedd, 28. Február 2023, 10:00 - 11:30
Recently, L.Molnar studied the question of whether the Lowner partial order on the positive cone of an operator algebra is determined by the norm of any arbitrary Kubo-Ando mean. The question was affirmatively answered for certain classes of Kubo-Ando means, yet the general case was left as an open problem. We here give an answer to this question, by showing that the norm of every symmetric Kubo-Ando mean on a unital C* algebra is order-determining.

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