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Fiedler, M. and Pták, V. (1997) A New Positive Definite Geometric Mean of Two Positive Definite Matrices. Linear Algebra and Its Applications, 251, 1-20.
https://doi.org/10.1016/0024-3795(95)00540-4

has been cited by the following article:

• TITLE: On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean

  AUTHORS: Hongjie Chen, Lei Li, Zheng Shi, Liguang Wang

  KEYWORDS: Spectral Geometric Mean, Positive Cone, Jordan *-Isomorphisms, Unitarily Invariant Norm

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.4, April 15, 2021

  ABSTRACT: We consider maps on positive definite cones of von Neumann algebras preserving unitarily invariant norms of the spectral geometric means. The main results concern Jordan *-isomorphisms between C*-algebras, and show that they are characterized by the preservation of unitarily invariant norms of those operations.