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math.FA2025
On the Ando-Hiai property for spectral geometric means
Yuki Seo, Shuhei Wada, Takeaki Yamazaki
In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover,…
math.FA2025
The ALM-Framework in the Theory of Multivariate Operator Means
Dante Hoshina, Shuhei Wada
In this paper, we generalize the ALM-procedure introduced by Ando, Li, and Mathias for extending operator geometric means to multiple variables. We prove that the generalized proce…