4 papers · 1 filter
Strong law of large numbers for generalized operator means II
Zoltán Léka, Miklós Pálfia
In this paper we continue the investigation of generalizations of the strong law of large numbers to operator means which has been initiated in the earlier paper "Strong law of lar…
Some singular value inequalities via convexity
Zoltan Leka
If denote the Euclidean lengths of the column vectors of any matrix then a fundamental inequality related to Hadamard products state…
Rearrangements and Leibniz-type rules of mean oscillations
Zoltan Leka
We shall prove a rearrangement inequality in probability measure spaces in order to obtain sharp Leibniz-type rules of mean oscillations in Lp-spaces and rearrangement invariant Ba…
Some inequalities for central moments of matrices
Zoltan Leka
In this paper we shall study noncommutative central moment inequalities with a main focus on whether the commutative bounds are tight in the noncommutative case, or not. We prove t…