Author(s)

Zhiqin Dang

School of Mathematical Sciences, Qufu Normal University, Qufu, China.

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.

Jordan ^*-Isomorphsim, Preserve, Spectrum, C^*-Algebra

Dang, Z. (2022) On Maps Preserving the Spectrum on Positive Cones of Operator Algebras. Journal of Applied Mathematics and Physics, 10, 1702-1710. doi: 10.4236/jamp.2022.105118.