Abstract
We introduce the operators which are generalizations of Hankel-type operators, called the (C,r)-Hankel operator and (R,r)-Hankel operator on general Hilbert spaces. Our main result is to obtain characterizations for a bounded operator on general Hilbert spaces to be a (C,r)-Hankel operator (or (R,r)-Hankel operator). We also discuss some algebraic properties like boundedness (for |r|≠1) of these operators and the relationship between them. Moreover, some characterizations for the commutativity of these operators are explored.
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.
