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.
Issue Date: 05 December 2006
Cite this article:
LI Jinxiu. Applications of Wigner’s theorem to positive maps preserving norm of operator products[J]. Front. Math. China,
2006, 1(4): 582-588.
