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On isometry groups of self-adjoint traceless and skew-symmetric matrices (1709.04507v1)
Published 13 Sep 2017 in math.FA
Abstract: 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. This completes and extends the result of Nagy on Schatten $p$-norm isometries. Furthermore, we point out that our proof techniques could be applied to obtain an old result concerning isometries on skew-symmetric matrices.
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