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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

Hirzallah, Omar ; Kittaneh, Fuad ; Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip On the eigenvalue inequalities for differences of means of Hilbert space operators. 2014

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

Povezanost rada

Matematika