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Molnár, L. (2015) General Mazur-Ulam Type Theorems and Some Applications. In: Arendt, W., Chill, R. and Tomilov, Y., Eds., Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Advances and Applications, Vol., 250, Springer International Publishing, Berlin, 311-342.
https://doi.org/10.1007/978-3-319-18494-4_21

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.