Weak normal properties of partial isometries
J. Korean Math. Soc.
Published online July 17, 2019
Ting Liu, Yanying Men, and Sen Zhu
Jilin University
Abstract : This paper describes when a partial isometry satisfies several weak normal properties. Topics treated include quasi-normality, subnormality, hyponormality, $p$-hyponormality ($p>0)$, $w$-hyponormality, paranormality, normaloidity, spectraloidity, the von Neumann property and Weyl's theorem.
Keywords : partial isometries, subnormal operators, hyponormal operators, von Neumann operators, Weyl's theorem
MSC numbers : 47B20, 47B99, 47A12, 47A20
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