42 citations · 57 across the 6 of their papers we have counts for
8 papers
Analytic lifts of operator concave functions
Miklós Pálfia
The motivation behind this paper is threefold. Firstly, to study, characterize and realize operator concavity along with its applications to operator monotonicity of free functions…
Strong law of large numbers for the -Karcher mean
Yongdo Lim, Miklós Pálfia
Sturm's strong law of large numbers in spaces has been an influential tool to study the geometric mean or also called Karcher barycenter of positive definite matr…
A note on real operator monotone functions
Marcell Gaál, Miklós Pálfia
In this paper we initiate the study of real operator monotonicity for functions of tuples of operators, which are multivariate structured maps with a functional calculus called fre…
Existence and uniqueness of the -Karcher mean
Yongdo Lim, Miklós Pálfia
We extend the domain of the Karcher mean of positive operators on a Hilbert space to -Borel probability measures on the cone of positive operators equipped with the Thomps…
Operator means of probability measures and generalized Karcher equations
Miklós Pálfia
In this article we consider means of positive bounded linear operators on a Hilbert space. We present a complete theory that provides a framework which extends the theory of the Ka…
Löwner's Theorem in several variables
Miklós Pálfia
In this paper we establish a multivariable non-commutative generalization of Löwner's classical theorem from 1934 characterizing operator monotone functions as real functions admit…
Semigroups of operator means and generalized Karcher equations
Miklós Pálfia
In this article we consider means of positive operators on a Hilbert space. We extend the theory of matrix power means to arbitrary operator means in the sense of Kubo-Ando. The ba…
Weighted matrix means and symmetrization procedures
Miklós Pálfia
Here we prove the convergence of the Ando-Li-Mathias and Bini-Meini-Poloni procedures for matrix means. Actually it is proved here that for a two-variable function which maps pairs…