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- W4386604208 abstract "Abstract In this article, 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 mean is studied. 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 a complete answer to this question, by showing that the norm of every symmetric Kubo–Ando mean is order-determining, i.e., if $A,Bin mathcal B(H)^{++}$ satisfy $Vert Asigma XVert le Vert Bsigma XVert $ for every $Xin mathcal {A}^{{++}}$ , where $mathcal A$ is the C*-subalgebra generated by $B-A$ and I , then $Ale B$ ." @default.
- W4386604208 created "2023-09-12" @default.
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- W4386604208 date "2023-09-11" @default.
- W4386604208 modified "2023-10-10" @default.
- W4386604208 title "EVERY SYMMETRIC KUBO-ANDO CONNECTION HAS THE ORDER-DETERMINING PROPERTY" @default.
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- W4386604208 doi "https://doi.org/10.4153/s0008439523000668" @default.
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