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Sourour, A.R. (1996) Invertibility Preserving Linear Maps on L(X). Transactions of the American Mathematical Society, 348, 13-30.
https://doi.org/10.1090/S0002-9947-96-01428-6

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.