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Extended spectrum of the Aluthge transformation

Asma Guemoula|Abdelouahab Mansour
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.09|한국수학논문집 (Korean Journal of Mathematics)|제29권 제3호|pp. 511-518

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키워드

Aluthge transformationextended spectrumDuggal transformationself-adjoint operatorinvertible operator.
주제분류수학

초록

In this paper, a relationship between the extended spectrum of the Aluthge transform and the extended spectrum of the operator $T$ is proved. Other relationships between two different operators and other results are also given.

Abstract

In this paper, a relationship between the extended spectrum of the Aluthge transform and the extended spectrum of the operator $T$ is proved. Other relationships between two different operators and other results are also given.

참고문헌 (17)

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  13. M. Sertbas, "On the extended spectrumof some quasinormal operators", Turk. J. Math, 41, pp.1477~1481 (2017)
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  17. Khaoula Zaiz, "On numerical range and numerical radius of convex function operators", 한국수학논문집, 27(4), pp.879~898 (2019), 강원경기수학회

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