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Relationships Between Mean Preserving Transformations
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DOI：10.1007/s11117-026-01197-5.png)
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Abstract
En 中文
Since the remarkable work of Ando, Li and Mathias on a symmetrization procedure, various types of the multi-variable geometric mean with Ando-Li-Mathias (ALM) properties have been studied. In this paper, we explore on characterization of preservers for two-variable Kubo-Ando's and non-Kubo-Ando's operator means and study relationships between mean preservers. Moreover, we characterize the preserver of multi-variable means such as the ALM mean, Karcher mean and Wasserstein mean.
Keywords:
Positive invertible operator
Kubo-Ando's operator mean
spectral geometric mean
Wasserstein mean
mean preserver