An operator inequality and its consequences (CROSBI ID 185977)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Moslehia, Mohammad Sal ; Mićić, Jadranka ; Kian, Mohsen
engleski
An operator inequality and its consequences
Let f be a continuous convex function on an interval J, let A, B, C, D be self-adjoint operators acting on a Hilbert space with spectra contained in J such that A+D=B+C and A<=m<=B, C<=M<=D for two real numbers m< M and let Phi be a unital positive linear map on B(H). We prove the subadditive inequality f(Phi(B))+f(Phi(C)<= Phi(f(A))+Phi(f(D)) and apply it to obtain several inequalities such as the Jensen-Mercer operator inequality and the Petrovic operator inequality.
convex function; positive linear map; Jensen-Mercer operator inequality; Petrovi
Special Issue in Honor of Harm Bart ; Albrecht Böttcher, Harry Dym, Marinus Kaashoek, Andre Ran (ur.).
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Podaci o izdanju
439 (3)
2013.
584-591
objavljeno
0024-3795
10.1016/j.laa.2012.08.005
Povezanost rada
Elektrotehnika, Računarstvo, Matematika