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On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean

On Maps Preserving Unitarily Invariant Norms of the Spectral Geometric Mean
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摘要 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 <em>C</em>*-algebras, and show that they are characterized by the preservation of unitarily invariant norms of those operations. 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 <em>C</em>*-algebras, and show that they are characterized by the preservation of unitarily invariant norms of those operations.
作者 Hongjie Chen Lei Li Zheng Shi Liguang Wang Hongjie Chen;Lei Li;Zheng Shi;Liguang Wang(School of Mathematical Sciences, Qufu Normal University, Qufu, China;School of Mathematical Sciences and LPMC, Nankai University, Tianjin, China)
出处 《Journal of Applied Mathematics and Physics》 2021年第4期577-583,共7页 应用数学与应用物理(英文)
关键词 Spectral Geometric Mean Positive Cone Jordan *-Isomorphisms Unitarily Invariant Norm Spectral Geometric Mean Positive Cone Jordan *-Isomorphisms Unitarily Invariant Norm
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