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

2024/12/04 by Chetcuti, Emmanuel, Healey, Curt
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2412.03094

Abstract

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 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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