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J. Korean Math. Soc. 2019; 56(6): 1489-1502
Online first article July 17, 2019 Printed November 1, 2019
https://doi.org/10.4134/JKMS.j180761
Copyright © The Korean Mathematical Society.
Weak normal properties of partial isometries
Ting Liu, Yanying Men, Sen Zhu
Jilin University; Jilin University; Jilin University
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: Primary 47B20, 47B99; Secondary 47A12, 47A20
Supported by: S. Zhu is supported by NSFC (11671167) and LMNS during his visit to Fudan University.
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