Hyponormal operator

In mathematics, especially operator theory, a hyponormal operator is a generalization of a normal operator. In general, a bounded linear operator T on a complex Hilbert space H is said to be p-hyponormal ( $0 < p \le 1$ ) if:

(That is to say, $(T^*T)^p - (TT^*)^p$ is a positive operator.) If $p = 1$ , then T is called a hyponormal operator. If $p = 1/2$ , then T is called a semi-hyponormal operator. Moreoever, T is said to be log-hyponormal if it is invertible and

单词	Hyponormal operator
释义	Hyponormal operator 英语百科 Hyponormal operator In mathematics, especially operator theory, a hyponormal operator is a generalization of a normal operator. In general, a bounded linear operator T on a complex Hilbert space H is said to be p-hyponormal ( $0 < p \le 1$ ) if: (That is to say, $(T^T)^p - (TT^)^p$ is a positive operator.) If $p = 1$ , then T is called a hyponormal operator. If $p = 1/2$ , then T is called a semi-hyponormal operator. Moreoever, T is said to be log-hyponormal if it is invertible and
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