Year-end Sale % OFF 
Abstract
Let T be a bounded linear operator on a complex separable Hilbert space . Let and be the Aluthge transform and *-Aluthge transform of T respectively. In this article, we consider the essential numerical range and maximal numerical range of T, and . We prove that the essential numerical range of is always contained in that of T and is the same as that of . Some related results for maximal numerical range are obtained.
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.
