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math.OA2017
On a class of determinant preserving maps for finite von Neumann algebras
Marcell Gaál, Soumyashant Nayak
Let be a finite von Neumann algebra with a faithful tracial state and let denote the associated Fuglede-Kadison determinant. In this paper, we characterize al…
math.FA2017
On isometry groups of self-adjoint traceless and skew-symmetric matrices
Marcell Gaál, Robert M. Guralnick
This note is concerned with isometries on the spaces of self-adjoint traceless matrices. We compute the group of isometries with respect to any unitary similarity invariant norm. T…