Abstract
An operator T is said to be k-quasi-∗-paranormal if ||Tk+2x||||Tkx|| ≥ ||T∗Tkx||2for all x ∈ H, where k is a natural number. In this paper, we give the inclusion relation of k-quasi-∗-paranormal operators and k-quasi-∗-A operators. And we prove that if T is an algebraically k-quasi-∗-paranormal operator, then T is polaroid and has SVEP. We also show that if T is an algebraically k-quasi-∗-paranormal operator, then Weyl type theorems hold for T.
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.
