Abstract

We consider the Cesàro sequence space ces p as a closed subspace of the infinite ℓ p -sum of finite dimensional spaces. We easily obtain many known results, for example, ces p has property ( β) of Rolewicz, uniform Opial property, and weak uniform normal structure. We also consider some generalized Cesàro sequence spaces. Finally, we compute the von Neumann–Jordan and James constants of the two-dimensional Cesàro sequence space ces p ( 2 ) when 1 < p ⩽ 2 .

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.