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Weyl’s theorem for algebraically absolute-(p,r)-paranormal operators. (English) Zbl 1221.47038
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).
MSC:
47B20Subnormal operators, hyponormal operators, etc.
47A13Several-variable spectral theory
47A30Operator norms and inequalities
47B06Riesz operators; eigenvalue distributions; approximation numbers, s-numbers etc.of operators