Pregled bibliografske jedinice broj: 591343
An operator inequality and its consequences
An operator inequality and its consequences // Linear algebra and its applications, 439 (2013), 3; 584-591 doi:10.1016/j.laa.2012.08.005 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 591343 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
An operator inequality and its consequences
Autori
Moslehia, Mohammad Sal ; Mićić, Jadranka ; Kian, Mohsen
Izvornik
Linear algebra and its applications (0024-3795) 439
(2013), 3;
584-591
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function; positive linear map; Jensen-Mercer operator inequality; Petrovi
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Elektrotehnika, Računarstvo
Napomena
Special Issue in Honor of Harm Bart ; Albrecht Böttcher, Harry Dym, Marinus Kaashoek, Andre Ran (ur.).
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
246-0361616-1623 - Metode izračuna i optimiranja elektromagnetskih uređaja i postrojenja (Hot, Kemal, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb,
Tehničko veleučilište u Zagrebu
Profili:
Jadranka Mićić Hot
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
