Abstract
We study the existence and characterization properties of compact Hermitian operators C on a Hilbert space H such that‖C‖⩽‖C+D‖,for all D∈D(K(H)h) or equivalently‖C‖=minD∈D(K(H)h)‖C+D‖=dist(C,D(K(H)h)) where D(K(H)h) denotes the space of compact self-adjoint diagonal operators in a fixed base of H and ‖.‖ is the operator norm. We also exhibit a positive trace class operator that fails to attain the minimum in a compact diagonal.
Sign-in/Register to access full text options 
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.
