Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 104, Issue 3, pp 483–494

The Hoffman-Wielandt inequality in infinite dimensions

  • Rajendra Bhatia
  • Ludwig Elsner

DOI: 10.1007/BF02867116

Cite this article as:
Bhatia, R. & Elsner, L. Proc. Indian Acad. Sci. (Math. Sci.) (1994) 104: 483. doi:10.1007/BF02867116


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 inequalityinfinite dimensionsHilbert-Schmidt operatorsSchattenp-norms

Copyright information

© Indian Academy of Sciences 1994

Authors and Affiliations

  • Rajendra Bhatia
    • 1
  • Ludwig Elsner
    • 2
  1. 1.Indian Statistical InstituteNew DelhiIndia
  2. 2.Fakultät für MathematikUniversität BielefeldBielefeldGermany