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Analytic extensions of $M$-hyponormal operators

Fei Zuo|Salah Mecheri
대한수학회 (The Korean Mathematical Society)|2016.01|대한수학회지 (Journal of the KMS)|제53권 제1호|pp. 233-246

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참고문헌

키워드

Weyl's theorem$M$-hyponormal operatorBishop's property ($\beta$)subscalar operator
주제분류수학

초록

In this paper, we introduce the class of analytic extensions of $M$-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an $M$-hyponormal operator $T$ is subscalar of order $2k+2$. Finally we obtain that an analytic extension of an $M$-hyponormal operator satisfies Weyl's theorem.

Abstract

In this paper, we introduce the class of analytic extensions of $M$-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an $M$-hyponormal operator $T$ is subscalar of order $2k+2$. Finally we obtain that an analytic extension of an $M$-hyponormal operator satisfies Weyl's theorem.

참고문헌 (29)

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