Abstract
In this article we will give relation between ascent and descent of a Banach space operator T and its diagonal (i.e. its restriction A to an invariant subspace and the induced quotient mapping B). This result is then applied to describe Drazin invertibility of one of these three operators using Drazin invertibility of the other two operators. It is proved that the operator T is meromorphic if and only if A and B are meromorphic.
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.
