On maps preserving the Jordan product of $C$-symmetric operators

Authors

  • Zouheir Amara Department of Mathematics, Labo LAGA, Faculty of Sciences, Mohammed First University, 60000 Oujda, Morocco
  • Mourad Oudghiri Department of Mathematics, Labo LAGA, Faculty of Sciences, Mohammed First University, 60000 Oujda, Morocco

DOI:

https://doi.org/10.33044/revuma.2950

Abstract

Given a conjugation $C$ on a complex separable Hilbert space $H$, a bounded linear operator $A$ acting on $H$ is said to be $C$-symmetric if $A=CA^*C$. In this paper, we provide a complete description to all those maps on the algebra of linear operators acting on a finite dimensional Hilbert space that preserve the Jordan product of $C$-symmetric operators, in both directions, for every conjugation $C$ on $H$.

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References

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Published

2023-10-27

Issue

Vol. 65 No. 2 (2023)

Section

Article

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Copyright (c) 2023 Zouheir Amara, Mourad Oudghiri

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