Abstract
This paper studies Weyl's theorems, and some related results for operators with Dunford's property (C). Weyl's theorem in some classes of operators (e.g.M-hyponormal,p-hyponormal and totally paranormal operators) is considered.
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References
B. P. Duggal,Quasi-similar p-hyponormal operators, Integr. Equat. Oper. Th.26 (1996), 338–345.
B. P. Duggal,p-Hyponormal operators satisfy Bishop's condition (β), Integ. Equat. Oper. Th. (to appear).
J. Eschmeier and M. Putinar,Bishop's condition (β) and rich extensions of linear operators, Indiana Univ. Math. J. 37 (1988), 325–347.
L. A. Fialkow,A note on quasi-similarity of operators, Acta Sci. Math. (Szeged)39 (1977), 67–85.
J. K. Finch,The single valued extension property on a Banach space, Pacific J. Math.58 (1975), 61–69.
R.E. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel-Dekker (1988).
R. E. Harte and W. Y. Lee,Another note on Weyl's theorem, Trans. Amer. Math. Soc.349 (1997), 2115–2124.
Jin-Chuan Hou,Some results on M-hyponormal operators, J. Math. Res. Exposition4 (1982), 101–103.
I. H. Jeon, E. Ko and H. Y. Lee,Weyl's theorem for f(T) when T is a dominant operator, Glasgow Math. J. (to appear).
J. J. Koliha,Isolated spectral points, Proc. Amer. Math. Soc.124 (1996), 3417–3424.
K. B. Laursen,Operators with finite ascent, Pac. J. Math.152 (1992), 323–336.
K. B. Laursen and M. M. Neumann,Asymptotic intertwining and spectral inclusions on Banach spaces, Czechoslovak Math. J.43 (118) (1993), 483–497.
K. B. Laursen and M. M. Neumann,Local spectral theory and spectral inclusions, Glasgow Math. J.36 (1994), 331–343.
K. B. Laursen,Essential spectra through local spectral theory, Proc. Amer. Math. Soc.125 (1997), 1425–1434.
K. B. Laursen and M. M. Neumann, An intruduction to local spectra theory, London Mathematical Society Monographs, New Series 20, Clarendon Press, Oxford 2000.
M. Mbekhta,Generalisations de la decomposition de Kato aux opérateurs paranormaux et spectraux, Glasgow Math. J.29 (1987), 159–175.
K. K. Oberai,On the Weyl spectrum II, Illinois J. Math.21 (1977), 84–90.
A. Putinar,On Weyl spectrum in several variables, Math. Japonica50 (1999), 353–357.
Ruan Yingbin and Yan Zikun,Spectral structure and subdecomposability of phyponormal operators, Proc. Amer. Math. Soc.128 (2000), 2069–2074.
J. G. Stampfli,Quasi-similarity of operators, Proc. Royal Ir. Acad.81 (1981), 109–119.