Abstract

Let E be an order continuous Köthe function space (or an order continuous Banach lattice) and X be a dual Banach space. Then E ⊗ ̂ X , the projective tensor product of E and X, has the Radon–Nikodym property if and only if both E and X do.

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.