Eigenvalue inequalities for differences of means of Hilbert space operators

Hirzzalah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip

doi:10.1016/j.laa.2011.08.037

Pregled bibliografske jedinice broj: 540917

Eigenvalue inequalities for differences of means of Hilbert space operators

Hirzzalah, Omar; Kittaneh, Fuad; Krnić, Mario; Lovričević, Neda; Pečarić, Josip

Eigenvalue inequalities for differences of means of Hilbert space operators // Linear algebra and its applications, 436 (2012), 5; 1516-1527 doi:10.1016/j.laa.2011.08.037 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 540917 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Eigenvalue inequalities for differences of means of Hilbert space operators

Autori
Hirzzalah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip

Izvornik
Linear algebra and its applications (0024-3795) 436 (2012), 5; 1516-1527

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
eigenvalue; positive operator; compact operator; arithmetic operator mean; geometric operator mean; Heinz operator mean; inequality

Sažetak
We prove several eigenvalue inequalities for the difference of various means of two positive invertible operators A and B on a separable Hilbert space, under the assumptions that A-B is compact. Equality conditions of these inequalities are also obtained.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA

Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
083-0000000-3227 - PRIMJENA ALGEBRE U GEOMETRIJI 2
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb

Profili:

Mario Krnić (autor)