Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 104, Issue 3, pp 483-494

First online:

The Hoffman-Wielandt inequality in infinite dimensions

  • Rajendra BhatiaAffiliated withIndian Statistical Institute
  • , Ludwig ElsnerAffiliated withFakultät für Mathematik, Universität Bielefeld

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The Hoffman-Wielandt inequality for the distance between the eigenvalues of two normal matrices is extended to Hilbert-Schmidt operators. Analogues for other norms are obtained in a special case.


Hoffman-Wielandt inequality infinite dimensions Hilbert-Schmidt operators Schattenp-norms