Abstract

Given two matrices A, B, we give an upper and a lower bound for the anti-distance sup⁡U∥A−U∗BU∥∞\sup_U \|A - U^*BU\|_\infty, where U runs over the set of unitary matrices.

Author information

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T. Ando

Hokusei Gakuen University, Faculty of Economics, Atsubetsu-ku, Sapporo 004, Japan

References

  1. I. Gohberg, M.G. Krein: Introduction to the Theory of Nonselfajoint Operators, Translations of Mathematical Monographs, Vol. 18, American Mathematical Society, Providence, R.I., 1969.Google Scholar
  2. M. Omladic, P. Semrl: On the distance between normal matrices, Proc. Amer. Math. Soc. 110 (1990) 591–596.https://doi.org/10.1090/S0002-9939-1990-1039535-3Google Scholar

Suggested citation

T. Ando. “Bounds for Anti-Distance.” Journal of Convex Analysis 3 (1996), No. 2, 371–373. https://doi.org/10.68381/jca03026

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Published by Heldermann Verlag, 1996. Rights now held by Banach Press.