Article citationsMore>>

Hatori, O. and Molnár, L. (2014) Isometries of the Unitary Groups and Thompson Isometries of the Spaces of Invertible Positive Elements in C*-Algebras. Journal of Mathematical Analysis and Applications, 409, 158-167.
https://doi.org/10.1016/j.jmaa.2013.06.065

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.