Symmetric Norms

  • Rajendra Bhatia
Part of the Graduate Texts in Mathematics book series (GTM, volume 169)


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.


Invariant Norm Permutation Matrice Unitarily Invariant Norm Numerical Radius Symmetric Gauge 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Rajendra Bhatia
    • 1
  1. 1.Indian Statistical InstituteNew DelhiIndia

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