Applications of Wigner's theorem to positive maps preserving norm of operator products

被引：0
|
作者：
Li J. [1 ]
机构：
[1] Department of Applied Mathematics, Donghua University
来源：
Frontiers of Mathematics in China | 2006年 / 1卷 / 4期
关键词：
Norm; Operator algebra; Preserver problem; Singular value; Wigner's theorem;
D O I：
10.1007/s11464-006-0029-3
中图分类号：
学科分类号：
摘要：
We apply Wigner's theorem to positive maps on standard operator algebras that preserve norm of operator products or sum of singular values of operator products. It follows that such preservers are of the form ℓ(A) = U AU*with U either a unitary or antiunitary operator. © Higher Education Press 2006.
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页码：582 / 588
页数：6
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