1 citations · 1 across the 3 of their papers we have counts for
9 papers
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…
On the Leibniz rule for random variables
Zoltan Leka
We prove a Leibniz-type inequality for the spread of random variables in terms of their -norms. The result is motivated by the Kato-Ponce inequalities and Rieffel's strong Lei…
Symmetric norms and the Leibniz property
Zoltan Leka
We show that certain symmetric seminorms on satisfy the Leibniz inequality. As an application, we obtain that norms of centered bounded real functions, defined…
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…
Leibniz seminorms in probability spaces
Adam Besenyei, Zoltan Leka
In this paper we study the (strong) Leibniz property of centered moments of bounded random variables. We shall answer a question raised by M. Rieffel on the non-commutative standar…
A note on extremal decomposition of covariances
Zoltan Leka
We shall present an elementary approach to extremal decompositions of (quantum) covariance matrices determined by densities. We give a new proof on former results and provide a sha…
A note on central moments in -algebras
Zoltán Léka
We present sharp estimates of the central moments of normal elements in -algebras. We shall obtain an upper bound for the weak moments of general elements as well…