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The spectrum is continuous on the set of p–hyponormal operators

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Abstract.

In this paper it is shown that the spectrum \(\sigma\), a set valued function, is continuous when the function is restricted to the set of all p-hyponormal operators on a Hilbert space.

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Received November 9, 1998; in final form August 6, 1999 / Published online July 3, 2000

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Hwang, I., Lee, W. The spectrum is continuous on the set of p–hyponormal operators. Math Z 235, 151–157 (2000). https://doi.org/10.1007/s002090000128

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  • DOI: https://doi.org/10.1007/s002090000128

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