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Maps Preserving the Numerical Radius Distance Between C-Algebras
Journal article   Peer reviewed

Maps Preserving the Numerical Radius Distance Between C-Algebras

Abdellatif Bourhim and Mohamed Mabrouk
Complex analysis and operator theory, Vol.13(5), pp.2371-2380
01/07/2019
DOI: https://doi.org/10.1007/s11785-019-00894-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let A and B be unital C *-algebras, and let v(a) be the numerical radius of any element a. A. We show that if a map T from A ontoB satisfies v(T (a)-T (b)) = v(a -b), (a, b. A), then T (1) -T (0) is a unitary central element in B. This shows that the characterization of Bai, Hou and Xu for the numerical radius distance preservers onC *-algebras can be obtained without the extra condition that T (1)-T (0) is in the center of B.

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