Abstract
Let A be a unital C⁎ algebra and for every a∈A, r(a) denote the numerical radius of a∈A. The power inequality for numerical radius states that for every polynomial P(z)=zn and a∈A the inequality P(r(a))≥r(P(a)) holds. In this paper, we get a characterization of polynomials with real coefficients that satisfy the power inequality on all 2×2 matrices with real entries. We also characterize all polynomials that satisfy the power inequality on every commutative unital C⁎ algebra.
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.
