Abstract
The classical Bohr's inequality states that | z + w | 2 ⩽ p | z | 2 + q | w | 2 for all z , w ∈ C and all p , q > 1 with 1 p + 1 q = 1 . In this paper, Bohr's inequality is generalized to the context of Hilbert space operators for all positive conjugate exponents p , q ∈ R . In particular, the parallelogram law is recovered and some other interesting operator inequalities and established.
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.
