A lifting theorem for unbounded quasinormal operators |
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| Authors: | Witold Majdak |
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| Affiliation: | Faculty of Applied Mathematics, AGH Science and Technology University, Al. Mickiewicza 30, 30-059 Kraków, Poland |
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| Abstract: | Relationships between minimal normal extensions of spectral and cyclic type of an unbounded quasinormal operator are discussed and some properties such as, for example, tightness of such extensions are established. A Yoshino type criterion on the lifting of the strong commutant of an unbounded quasinormal operator is proved. |
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| Keywords: | Subnormal operator Quasinormal operator Minimal normal extension Lifting commutant theorem |
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