ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

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...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2016, 53(1), , pp.233-246
Hauptverfasser: MECHERI, SALAH, ZUO, FEI
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2016.53.1.233