Abstract
Let A be a positive operator on a Hilbert space H with 0 < m ⤠A ⤠M, and let X and Y be isometries on H such that X*Y = 0, p > 0, and Φ be a 2-positive unital linear map. Define Î = (Φ(X*AY )Φ(Y*AY )^(â1)Φ(Y*AX)^p Φ(X*AX)^(âp). Several upper bounds for (1/2) |Î + Î*| are established. These bounds complement a recent result on the operator Wielandt inequality.
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.