In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz ...

ABSTRACT: The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent ...

The operator convex functions of two variables are characterized in terms of a non-commutative generalization of Jensen's inequality. Journal Information This monthly journal, begun in 1950, is ...

This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...