Geodesic
Weyl's theorem for p-hyponormal or M-hyponormal operators
Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 375-381

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In 1997, M. Cho, M. Ito and S. Oshiro showed that Weyl's theorem holds for p-hyponormal operators, for any p>0. In this note we give another proof of this result. Also, it is shown that Weyl's theorem holds for M-hyponormal operators. Further, in 1962, Stampfli showed that if T is hyponormal and its Weyl spectrum is {0} then T is compact and normal. We show that this result remains true if the hypothesis of hyponormality is replaced by either (a) p-hyponormality or (b) M-hyponormality. 
Uchiyama, Atsushi; Yoshino, Takashi. Weyl's theorem for p-hyponormal or M-hyponormal operators. Glasgow mathematical journal, Tome 43 (2001) no. 3, pp. 375-381. doi: 10.1017/S0017089501030014
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     title = {Weyl's theorem for p-hyponormal or {M-hyponormal} operators},
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