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Paper's Title:

Numerical Radius Isometries between Hermitian Banach Algebras

Author(s):

Mohamed Mabrouk and Ashwaq Albideewi

Department of Mathematics,
Faculty of Sciences Cite Erriadh,
University of Gabes,
6072 Zrig, Gabes,
Tunisia.
E-mail: mohamed.mabrouk@fsg.rnu.tn

 Department of Mathematics,
College of Applied Sciences,
Umm Al-Qura University,
P. O. Box 715,
Makkah 21955,
Saudi Arabia.
Email: Ashwaq.F.B@hotmail.com

Abstract:

In the case of C*-algebras, the author in [2] showed that any linear unital and surjective numerical radius isometry is a Jordan *-isomorphism. In this paper, we generalize this result to the case of Hermitian Banach algebras.


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