ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

作者:Mecheri, Salah*; Zuo, Fei
来源:Journal of the Korean Mathematical Society, 2016, 53(1): 233-246.
DOI:10.4134/JKMS.2016.53.1.233

摘要

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.

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