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arXiv · 2412.03094

Extending surjective maps preserving the norm of symmetric kubo-ando means

Emmanuel Chetcuti·Curt Healey
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Abstract

Recently, the question of whether surjective maps preserving the norm of a symmetric Kubo-Ando mean can be extended to Jordan $\ast$-isomorphisms has been tackled. The question was affirmatively answered for surjective maps between $C^{*}$-algebras for certain specific classes of symmetric Kubo-Ando means. Here, we give a comprehensive answer to this question for surjective maps between $AW^{*}$-algebras preserving the norm of any symmetric Kubo-Ando mean.

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Emmanuel Chetcuti, Curt Healey. 2024-12-04. Extending surjective maps preserving the norm of symmetric kubo-ando means. https://doi.org/10.4153/s0008439525000116

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