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An Operator Transform from Class A to the Class of Hyponormal Operators and its Application

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Abstract.

In this paper, we shall give an operator transform \({\hat T}\) from class A to the class of hyponormal operators. Then we shall show that \(\sigma (T) = \sigma (\hat T)\) and \(\sigma_a (T) = \sigma_a (\hat T)\) in case T belongs to class A. Next, as an application of \({\hat T},\) we will show that every class A operator has SVEP and property (β).

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Authors and Affiliations

  1. Department of Mathematics, Kanagawa University, Yokohama, 221-8686, Japan

    Muneo Chō & Takeaki Yamazaki

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  1. Muneo Chō
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  2. Takeaki Yamazaki
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Correspondence to Muneo Chō.

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Chō, M., Yamazaki, T. An Operator Transform from Class A to the Class of Hyponormal Operators and its Application. Integr. equ. oper. theory 53, 497–508 (2005). https://doi.org/10.1007/s00020-004-1332-6

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  • DOI: https://doi.org/10.1007/s00020-004-1332-6

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