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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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참고문헌 (29)
참고문헌 신청
P. Aiena / 2004 / Fredholm and Local Spectral Theory with Applications to Multipliers / Kluwer Academic Publishers
P. Aiena / 2010 / Weyl type theorems for left and right polaroid operators / Integral Equations Operator Theory 66(1):1~20
P. Aiena / 2010 / Polaroid type operators under quasi-affinities / J. Math. Anal. Appl 371(2):485~495
S. K. Berberian / 1970 / The Weyl spectrum of an operator / Indiana Univ. Math. J 20:529~544
S. Brown / 1987 / Hyponormal operators with thick spectra have invariant subspaces / Ann. of Math 125(1):93~103
P. Aiena / 2010 / Weyl type theorems for left and right polaroid operators / Integral Equations Operator Theory 66(1):1~20
P. Aiena / 2010 / Polaroid type operators under quasi-affinities / J. Math. Anal. Appl 371(2):485~495
S. K. Berberian / 1970 / The Weyl spectrum of an operator / Indiana Univ. Math. J 20:529~544
S. Brown / 1987 / Hyponormal operators with thick spectra have invariant subspaces / Ann. of Math 125(1):93~103
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