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http://dx.doi.org/10.4134/JKMS.j180761

WEAK NORMAL PROPERTIES OF PARTIAL ISOMETRIES  

Liu, Ting (Institute of Mathematics Jilin University)
Men, Yanying (Institute of Mathematics Jilin University)
Zhu, Sen (Department of Mathematics Jilin University)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.6, 2019 , pp. 1489-1502 More about this Journal
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;
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