Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 4: 582 - 588

DOI: https://doi.org/10.1007/s11464-006-0029-3

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

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  • Department of Applied Mathematics, Donghua University, Shanghai 200051, China;

Published date: 05 Dec 2006

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Abstract

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 φ(A) = UAU* with U either a unitary or antiunitary operator.

Cite this article

LI Jinxiu . Applications of Wigner’s theorem to positive maps preserving norm of operator products[J]. Frontiers of Mathematics in China, 2006 , 1(4) : 582 -588 . DOI: 10.1007/s11464-006-0029-3

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