Maps Preserving the Numerical Radius Distance Between C*-Algebras

被引：0

作者：

Bourhim, Abdellatif ^{[1
]}

Mabrouk, Mohamed ^{[2
,3
]}

机构：

[1] Syracuse Univ, Dept Math, 215 Carnegie Bldg, Syracuse, NY 13244 USA

[2] Umm Al Qura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia

[3] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 05期

关键词：

C*-algebras; Isometry; Numerical range; Numerical radius; Numerical range and radius preservers; ISOMETRIES; OPERATORS;

D O I：

10.1007/s11785-019-00894-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2371 / 2380

页数：10

共 16 条

[1] Maps preserving numerical radius distance on C*-algebras [J].