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On preservers related to the spectral geometric mean

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Abstract In this paper we study preserver transformations between positive definite cones in operator algebras relating the spectral geometric mean of Fiedler and Ptak. We also discuss kinds of structural… Click to show full abstract

Abstract In this paper we study preserver transformations between positive definite cones in operator algebras relating the spectral geometric mean of Fiedler and Ptak. We also discuss kinds of structural similarities and dissimilarities between the Kubo-Ando geometric mean and the spectral geometric mean.

Keywords: related spectral; geometric mean; spectral geometric; preservers related

Journal Title: Linear Algebra and its Applications
Year Published: 2021

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