Inequalities connected with averaging operators

Submajorization inequalities associated with $tau$-measurable operators

The aim of this note is to study the submajorization inequalities for $tau$-measurable operators in a semi-finite von Neumann algebra on a Hilbert space with a normal faithful semi-finite trace $tau$. The submajorization inequalities generalize some results due to Zhang, Furuichi and Lin, etc..

submajorization inequalities associated with $tau$-measurable operators

the aim of this note is to study the submajorization inequalities for $tau$-measurable operators in a semi-finite von neumann algebra on a hilbert space with a normal faithful semi-finite trace $tau$. the submajorization inequalities generalize some results due to zhang, furuichi and lin, etc..

Similarity classifier with ordered weighted averaging operators

In this article we extend the similarity classifier to cover also Ordered Weighted Averaging (OWA) operators. Earlier, similarity classifier was mainly used with generalized mean operator, but in this article we extend this aggregation process to cover more general OWA operators. With OWA operators we concentrate on linguistic quantifier guided aggregation where several different quantifiers ar...

On Extreme Averaging Operators

Clarkson Inequalities With Several Operators

We prove several inequalities for trace norms of sums of n operators with roots of unity coefficients. When n = 2 these reduce to the classical Clarkson inequalities and their non-commutative analogues.