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Weak subnormality of operators

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Abstract.

We consider the gap between weak subnormality and 2–hyponormality for Toeplitz operators. In addition, we study the spectrum of the minimal partially normal extension of a weakly subnormal operator, and the inverse of an invertible weakly subnormal operator.

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Authors and Affiliations

  1. Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA¶ e-mail: curto@math.uiowa.edu, , , , , , US

    R. E. Curto

  2. Department of Mathematics, SungKyunKwan University, Suwon 440-746, Korea¶ e-mail: ishwang@math.skku.ac.kr, , , , , , KR

    I. S. Hwang

  3. Department of Mathematics, SungKyunKwan University, Suwon 440-746, Korea¶ e-mail: wylee@yurim.skku.ac.kr, , , , , , KR

    W. Y. Lee

Authors
  1. R. E. Curto
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  2. I. S. Hwang
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  3. W. Y. Lee
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Eingegangen am 17. 1. 2001

RID="h1"

ID="h1"The work of the first-named author was partially supported by NSF research grant DMS-9800931.¶ The work of the second- and third-named authors were partially supported by KRF grant (KRF-2000-015-DP0005) and KOSEF grant (2000-1-10100-002-3).

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Curto, R., Hwang, I. & Lee, W. Weak subnormality of operators. Arch. Math. 79, 360–371 (2002). https://doi.org/10.1007/PL00012458

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  • DOI: https://doi.org/10.1007/PL00012458

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