In this chapter we study norms on the space of matrices that are invariant under multiplication by unitaries. Their properties are closely linked to those of symmetric gauge functions on ℝn. We also study norms that are invariant under unitary conjugations. Some of the inequalities proved in earlier chapters lead to inequalities involving these norms.
KeywordsInvariant Norm Permutation Matrice Unitarily Invariant Norm Numerical Radius Symmetric Gauge
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