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Square roots of (BCP)-operators

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Abstract.

In this note we consider a class of square roots of invertible (BCP)-operators whose structure is pertinent to the question whether every operator on Hilbert space whose norm and spectral radius coincide has a nontrivial invariant subspace.

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Authors and Affiliations

  1. Department of Mathematics, Kyungpook National University, 702-701, Daegu, Korea

    I. B. Jung

  2. Department of Mathematics, Ewha Women’s University, 120-750, Seoul, Korea

    E. Ko

  3. Department of Mathematics, Texas A and M University, College Station, 77843, Texas, USA

    C. Pearcy

Authors
  1. I. B. Jung
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  2. E. Ko
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  3. C. Pearcy
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Corresponding authors

Correspondence to I. B. Jung, E. Ko or C. Pearcy.

Additional information

Received: 24 August 2003; revised manuscript accepted: 24 September 2003

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Jung, I., Ko, E. & Pearcy, C. Square roots of (BCP)-operators. Arch. Math. 82, 317–323 (2004). https://doi.org/10.1007/s00013-003-0614-6

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  • DOI: https://doi.org/10.1007/s00013-003-0614-6

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