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A Characterization of Unitary-Antiunitary Similarity Transformations via Kubo–Ando Means

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Abstract

In this note, we characterize all those bijective transformations on the set of positive semidefinite matrices which preserve an arbitrary unitarily invariant norm of any given Kubo–Ando mean corresponding to an n-monotone strictly concave generating function. This result strengthens a former theorem of Molnár and Szokol.

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Correspondence to M. Gaál.

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This work was supported by the National Research, Development and Innovation Office – NKFIH Reg. No. K115383.

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Gaál, M., Nagy, G. A Characterization of Unitary-Antiunitary Similarity Transformations via Kubo–Ando Means. Anal Math 45, 311–319 (2019). https://doi.org/10.1007/s10476-018-0401-z

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  • DOI: https://doi.org/10.1007/s10476-018-0401-z

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