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An operator inequality and its consequences (CROSBI ID 185977)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Moslehia, Mohammad Sal ; Mićić, Jadranka ; Kian, Mohsen An operator inequality and its consequences // Linear algebra and its applications, 439 (2013), 3; 584-591. doi: 10.1016/j.laa.2012.08.005

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.).

nije evidentirano

nije evidentirano

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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

Poveznice
Indeksiranost