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On dominant operators

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Abstract

This paper is devoted to the study of dominant operators with an emphasis on their spectral properties. In particular the equation (T−λ)f(λ)≡ ≡x (T a dominant or hyponormal operator on the Hilbert space ℌ,x∈ℌ andf a function from the open setU to ℌ) is investigated in an effort to discover necessary and/or sufficient conditions for the analyticity off.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, Swain Hall-East, 47401, Bloomington, IN, USA

    Joseph G. Stampfli

  2. Cleveland State University, 44115, Cleveland, OH, USA

    Bhushan L. Wadhwa

Authors
  1. Joseph G. Stampfli
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  2. Bhushan L. Wadhwa
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Supported in part by the National Science Foundation.

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Stampfli, J.G., Wadhwa, B.L. On dominant operators. Monatshefte für Mathematik 84, 143–153 (1977). https://doi.org/10.1007/BF01579599

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  • DOI: https://doi.org/10.1007/BF01579599

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