Abstract
Using the Bessaga–Pełczyński selection principle, we give an alternative and concise proof of the results obtained by Tu (Arch Math, 117:315–322, 2021) that several quantities defined for bounded subsets of Banach spaces and related to compactness, weak compactness, and the Banach–Saks property coincide in l_{1}.
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.
