Abstract
Let be the algebra of all bounded linear operators on Banach space X. We determine the form of maps (not necessarily linear) which satisfies the following condition for different kinds of binary operations on operators: The sum , the product AB, triple product ABA, and Jordan product for all where is the set of operators commuting with .
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.