Abstract
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.
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© 1997 Springer Science+Business Media New York
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Bhatia, R. (1997). Symmetric Norms. In: Matrix Analysis. Graduate Texts in Mathematics, vol 169. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0653-8_4
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DOI: https://doi.org/10.1007/978-1-4612-0653-8_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6857-4
Online ISBN: 978-1-4612-0653-8
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