摘要
It is known that the square of a ω-hyponormal operator is also ω-hyponormal. For any 0〈 p 〈 1, there exists a special invertible operator such that all of its integer powers are all p - ω-hyponormal. In this article, the author introduces the class of (s, p) -ω-hyponormal operators on the basis of the class of p- ω-hyponormal operators. For s 〉0, 0 〈 p 〈 1, the author gives a characterization of (s,p) -ω-hyponormal operatots; the author shows that all integer powers of special (s, p) -ω-hyponormal operators are (s,p) -ω-hyzponormal.
It is known that the square of a ω-hyponormal operator is also ω-hyponormal. For any 0〈 p 〈 1, there exists a special invertible operator such that all of its integer powers are all p - ω-hyponormal. In this article, the author introduces the class of (s, p) -ω-hyponormal operators on the basis of the class of p- ω-hyponormal operators. For s 〉0, 0 〈 p 〈 1, the author gives a characterization of (s,p) -ω-hyponormal operatots; the author shows that all integer powers of special (s, p) -ω-hyponormal operators are (s,p) -ω-hyzponormal.
基金
Science Foundation of Ministry of Education of China