Abstract
Let Y be a Banach space and ( Ω , Σ , μ ) be a σ-finite measure space, where Σ is an infinite σ-algebra of measurable subsets of Ω. We show that if the couple ( L 1 ( μ ) , Y ) has the Bishop–Phelps–Bollobás property for operators, then Y has the AHSP. Further, for a Banach space Y with the Radon–Nikodým property, we prove that the couple ( L 1 ( μ ) , Y ) has the Bishop–Phelps–Bollobás property for operators if and only if Y has the AHSP.
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.
