Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS

  • MECHERI, SALAH (COLLEGE OF SCIENCE DEPARTMENT OF MATHEMATICS TAIBAH UNIVERSITY) ;
  • ZUO, FEI (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE HENAN NORMAL UNIVERSITY)
  • Received : 2014.11.07
  • Published : 2016.01.01
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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.

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References

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