Geodesic
Extending surjective maps preserving the norm of symmetric Kubo-Ando means
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 777-786

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DOI

In Dong et al. (2022, Journal of Operator Theory 88, 365–406), the authors addressed the question of whether surjective maps preserving the norm of a symmetric Kubo-Ando mean can be extended to Jordan $\ast $-isomorphisms. The question was affirmatively answered for surjective maps between the positive definite cones of unital $C^{*}$-algebras for certain specific classes of symmetric Kubo-Ando means. Here, we give a comprehensive answer to this question for surjective maps between the positive definite cones of $AW^{*}$-algebras preserving the norm of any symmetric Kubo-Ando mean.
DOI : 10.4153/S0008439525000116
Mots-clés : Kubo-Ando connection, C*-algebra, AW*-algebra, positive definite cone, preservers 
Chetcuti, Emmanuel; Healey, Curt. Extending surjective maps preserving the norm of symmetric Kubo-Ando means. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 777-786. doi: 10.4153/S0008439525000116
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     title = {Extending surjective maps preserving the norm of symmetric {Kubo-Ando} means},
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     year = {2025},
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