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has been cited by the following article:
TITLE: On Maps Preserving the Spectrum on Positive Cones of Operator Algebras
AUTHORS: Zhiqin Dang
KEYWORDS: Jordan *-Isomorphsim, Preserve, Spectrum, C*-Algebra
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.5, May 30, 2022
ABSTRACT: We consider the spectrum-preserving maps on positive definite cones of C*-algebras or von Neumann algebras. We first introduce some basic properties of Jordan isomorphism. Then, we study the additively spectrum preserving property and the multiplicatively spectrum-preserving property, and prove that these maps can be characterized by Jordan isomorphisms between C*-algebras.