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- Paranormal_operator abstract "In mathematics, especially operator theory, a paranormal operator is a generalization of a normal operator. More precisely, a bounded linear operator T on a complex Hilbert space H is said to be paranormal if: for every unit vector x in H.The class of paranormal operators was introduced by V. Istratescu in 1960s, though the term "paranormal" is probably due to Furuta.Every hyponormal operator (in particular, a subnormal operator, a quasinormal operator and a normal operator) is paranormal. If T is a paranormal, then Tn is paranormal. On the other hand, Halmos gave an example of a hyponormal operator T such that T2 isn't hyponormal. Consequently, not every paranormal operator is hyponormal.A compact paranormal operator is normal.".
- Paranormal_operator wikiPageID "21455723".
- Paranormal_operator wikiPageRevisionID "466485100".
- Paranormal_operator hasPhotoCollection Paranormal_operator.
- Paranormal_operator subject Category:Operator_theory.
- Paranormal_operator comment "In mathematics, especially operator theory, a paranormal operator is a generalization of a normal operator. More precisely, a bounded linear operator T on a complex Hilbert space H is said to be paranormal if: for every unit vector x in H.The class of paranormal operators was introduced by V. Istratescu in 1960s, though the term "paranormal" is probably due to Furuta.Every hyponormal operator (in particular, a subnormal operator, a quasinormal operator and a normal operator) is paranormal.".
- Paranormal_operator label "Paranormal operator".
- Paranormal_operator label "パラノーマル作用素".
- Paranormal_operator sameAs パラノーマル作用素.
- Paranormal_operator sameAs m.05f74pz.
- Paranormal_operator sameAs Q7135553.
- Paranormal_operator sameAs Q7135553.
- Paranormal_operator wasDerivedFrom Paranormal_operator?oldid=466485100.
- Paranormal_operator isPrimaryTopicOf Paranormal_operator.