Abstract
In this paper we examine the fine spectrum of the generalized difference operator Δ a , b over the sequence space c . The boundedness of the operator Δ a , b has been proved. Also, the norm of this operator has been found. The class of the operator Δ a , b includes some other special cases such as the generalized difference operator B ( r , s ) introduced by Altay and Başar in 2005. Our results not only generalize the corresponding results in the existing literature, but also give results for some more operators.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.