Abstract

The goal of this research is to discuss the ascent (descent) and essential ascent (essential descent) for weighted composition operators on Lorentz sequence spaces. We look into the conditions on self-map T and the complex valued function u defined on the set of natural numbers so that the induced weighted composition operators on Lorentz sequence space l(p,q), 1<p≤∞, 1≤q≤∞ to have finite or infinite ascent (descent, essential ascent or essential descent). Our findings are well supported by a number of examples.

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 call

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.