Pregled bibliografske jedinice broj: 718734
On the eigenvalue inequalities for differences of means of Hilbert space operators
On the eigenvalue inequalities for differences of means of Hilbert space operators // 3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014)"
Beč, Austrija, 2014. (poster, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 718734 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the eigenvalue inequalities for differences of means of Hilbert space operators
Autori
Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014)"
Mjesto i datum
Beč, Austrija, 25.08.2014. - 28.08.2014
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Hilbertov prostor; kompaktni pozitivni operatori; svojstvene vrijednosti; aritmetička sredina; geometrijska sredina; Heinzove sredine; Jensenov funkcional; superaditivnost.
(Hilbert space; compact positive operators; eigenvalues; arithmetic mean; geometric mean; Heinz mean; Jensen’s functional; superadditivity.)
Sažetak
The presented results consider the bounds for the eigenvalues of the differences of certain means of the compact positive operators on a Hilbert space. These bounds are derived and additionally improved by means of the refinements and converses of the corresponding operator means inequalities, which were previously motivated by the described superadditivity property of the suitably defined Jensen-type functionals for the operators on a Hilbert space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb
