IJPAM: Volume 108, No. 4 (2016)

SOME OPERATOR INEQUALITIES
FOR $\tau-$MEASURABLE OPERATORS

G.E. Berikhanova$^1$, O.M. Zholymbaev$^2$, A.A. Anyarov$^3$
$^{1,2,3}$Shakarim State University Of Semey
Glinka st. 20A, Semey, KAZAKHSTAN


Abstract. In this present paper we proved some subadditivity submajorisation inequalities for operator concave and operator convex function of $\tau$-measurable operators. Our results extended some results of Hansen [#!H1980!#] and Bourin [#!B!#].

Received: June 4, 2016

AMS Subject Classification: 46L10, 46L50, 47D25

Key Words and Phrases: von Neumann algebra, $\tau$-measurable operator, operator inequality

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DOI: 10.12732/ijpam.v108i4.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 887 - 894


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