PRESERVERS FOR NORMS OF LIE PRODUCT

被引：20

作者：

Li, Chi-Kwong ^{[1
]}

Poon, Edward ^{[2
]}

Sze, Nung-Sing ^{[3
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA

[2] Embry Riddle Aeronaut Univ, Dept Math, Prescott, AZ 86301 USA

[3] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

OPERATORS AND MATRICES | 2009年 / 3卷 / 02期

关键词：

Lie product; unitarily invariant and unitary similarity invariant norms; MATRICES;

D O I：

10.7153/oam-03-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let parallel to . parallel to be a unitary similarity invariant norm on the set M-n of n x n complex matrices. A description is obtained for surjective maps phi on M-n satisfying parallel to AB - BA parallel to = parallel to phi(A)phi(B) - phi(B)phi(A)parallel to for all A, B is an element of M-n. The general theorem covers the special cases when the norm is one of the Schatten p-norms, the Ky-Fan k-norms, or the k-numerical radii.

引用

页码：187 / 203

页数：17

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