Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599366 | Linear Algebra and its Applications | 2014 | 23 Pages |
Abstract
In this paper first we give a partial answer to a question of L. Molnár and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm of the commutator. After that we will characterize those (not necessarily linear or bijective) maps on the set of self-adjoint rank-one projections acting on a two-dimensional complex Hilbert space which leave the latter quantity invariant. Finally, this result will be applied in order to obtain a description of such bijective preservers on the unitary group and on the set of density operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
György Pál Gehér, Gergő Nagy,