Abstract

We introduce the notion of a (noncommutative) C∗-Segal algebra as a Banach algebra (A,‖⋅‖A) which is a dense ideal in a C∗-algebra (C,‖⋅‖C), where ‖⋅‖A is strictly stronger than ‖⋅‖C on A. Several basic properties are investigated and, with the aid of the theory of multiplier modules, the structure of C∗-Segal algebras with order unit is determined.

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.