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- Hyponormal_operator abstract "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 if:(That is to say, is a positive operator.) If , then T is called a hyponormal operator. If , then T is called a semi-hyponormal operator. Moreoever, T is said to be log-hyponormal if it is invertible andAn invertible p-hyponormal operator is log-hyponormal. On the other hand, not every log-hyponormal is p-hyponormal.The class of semi-hyponormal operators was introduced by Xia, and the class of p-hyponormal operators was studied by Aluthge, who used what is today called the Aluthge transformation.Every subnormal operator (in particular, a normal operator) is hyponormal, and every hyponormal operator is a paranormal convexoid operator. Not every paranormal operator is, however, hyponormal.".
- Hyponormal_operator wikiPageExternalLink 2162263.
- Hyponormal_operator wikiPageID "21498423".
- Hyponormal_operator wikiPageRevisionID "578033080".
- Hyponormal_operator hasPhotoCollection Hyponormal_operator.
- Hyponormal_operator subject Category:Operator_theory.
- Hyponormal_operator comment "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 if:(That is to say, is a positive operator.) If , then T is called a hyponormal operator. If , then T is called a semi-hyponormal operator. Moreoever, T is said to be log-hyponormal if it is invertible andAn invertible p-hyponormal operator is log-hyponormal.".
- Hyponormal_operator label "Hyponormal operator".
- Hyponormal_operator label "ハイポノーマル作用素".
- Hyponormal_operator sameAs ハイポノーマル作用素.
- Hyponormal_operator sameAs m.05h41v1.
- Hyponormal_operator sameAs Q5959976.
- Hyponormal_operator sameAs Q5959976.
- Hyponormal_operator wasDerivedFrom Hyponormal_operator?oldid=578033080.
- Hyponormal_operator isPrimaryTopicOf Hyponormal_operator.