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Continuity of the spectrum on closed similarity orbits

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Abstract

We present a useful case when the spectral radius of a norm limit of operator similar to a fixed operatorT still equals that ofT.

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References

  1. I. Gohberg, S. Goldberg, and M.A. Kaashoek,Classes of Linear Operators, Vol. I, Birkhäuser, Basel, 1990.

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  2. P. Halmos,A Hilbert Space Problem Book, Springer-Verlag, New York, 1982.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, Indiana

    Hari Bercovici & Ciprian Foias

  2. Department of Electrical Engineering, University of Minnesota, 55455, Minneapolis, Minnesota

    Allen Tannenbaum

Authors
  1. Hari Bercovici
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  2. Ciprian Foias
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  3. Allen Tannenbaum
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Additional information

This work was supported in part by grants from the National Science Foundation DMS-8811084, ECS-9001371, ECS-9122106, by the Air Force Office of Scientific Research AFOSR-90-0024 and AFOSR-90-0053, and by the Army Research Office DAAL03-91-G-0019.

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Bercovici, H., Foias, C. & Tannenbaum, A. Continuity of the spectrum on closed similarity orbits. Integr equ oper theory 18, 242–244 (1994). https://doi.org/10.1007/BF01192462

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  • DOI: https://doi.org/10.1007/BF01192462

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