Author(s)

Hongjie Chen¹, Lei Li², Zheng Shi¹, Liguang Wang^1*

¹School of Mathematical Sciences, Qufu Normal University, Qufu, China.
²School of Mathematical Sciences and LPMC, Nankai University, Tianjin, China.

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.

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

Chen, H. , Li, L. , Shi, Z. and Wang, L. (2021) On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean. Journal of Applied Mathematics and Physics, 9, 577-583. doi: 10.4236/jamp.2021.94041.