On the eigenvalue inequalities for differences of means of Hilbert space operators (CROSBI ID 614953)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
engleski
On the eigenvalue inequalities for differences of means of Hilbert space operators
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.
Hilbert space; compact positive operators; eigenvalues; arithmetic mean; geometric mean; Heinz mean; Jensen’s functional; superadditivity.
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Podaci o prilogu
2014.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
3rd International Eurasian Conference on Mathematical Sciences and Applications ( IECMSA-2014)"
poster
25.08.2014-28.08.2014
Beč, Austrija