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Zbl 1221.47038
Senthilkumar, D.; Maheswari Naik, P.
Weyl's theorem for algebraically absolute-$(p, r)$-paranormal operators. (English)
[J] Banach J. Math. Anal. 5, No. 1, 29-37, electronic only (2011). ISSN 1735-8787/e

The authors study some properties of absolute-$(p,r)$-paranormal operators. If $T$ is an algebraically absolute-$(p,r)$-paranormal operator, then it is proved that Weyl's and generalized Weyl's theorem hold for $T$ and for functions of $T$ (under some conditions).
[Mohammed Hichem Mortad (Oran)]

MSC 2000:: *47B20 Subnormal operators, etc.
47A13 Several-variable spectral theory
47A30 Operator norms and inequalities
47B06 Riesz operators and eigenvalue distributions

Keywords: absolute-$(p,r)$-paranormal operators; nilpotent; normaloid; Riesz idempotent; single valued extension property; stable index; Drazin invertible; Drazin spectrum; Weyl's theorem

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