Abstract
LetX be a reflexive Banach space andK(X) the operator algebra of compact linear operatorsu:X→X. In this note we prove the following two results: a) Any decomposable bilinear operator fromK(X)×K(X) intoK(X) is Arens regular; b) ifX has an unconditional basis then any bounded bilinear operator fromK(X)×K(X) intoK(X) is Arens regular.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.