Abstract
It is proved in this paper that k-paranormal operators satisfy (Bishop’s) property (β) ; and also that if S and T are k -paranormal contractions such that the completely non-unitary part Sc of S has finite multiplicity, then S is quasi-similar to T if and only if their unitary parts are unitarily equivalent and their completely non-unitary parts are quasi-similar. This generalizes a result of W.W. Hastings [4] on subnormal operators and P.Y. Wu [11] on hyponormal operators. Mathematics subject classification (2010): Primary 47A45, Secondary 47B20.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
