68 citations · 274 across the 38 of their papers we have counts for
39 papers
On interrelations among different versions of a Heron type mean and commutativity in -Algebras
Lajos Molnár, Teng Zhang
The extension of the concept of a mean of positive real numbers to noncommutative settings, e.g., for Hilbert space operators, is a widely studied question. For example, in quantum…
Transformations preserving the norm of means between positive cones of general and commutative -algebras
Yunbai Dong, Lei Li, Lajos Molnar +1
In this paper, we consider a (nonlinear) transformation of invertible positive elements in -algebras which preserves the norm of any of the three fundamental means of posi…
Characterizations of certain means of positive operators
Lajos Molnar
In this paper we present some characterizations for quasi-arithmetic operator means (among them the arithmetic and harmonic means) on the positive definite cone of the full algebra…
Maps on positive definite operators preserving the quantum -divergence
Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu +3
We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the…
Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence
Marcell Gaál, Lajos Molnár
In a certain sense we generalize the recently introduced and extensively studied notion called quantum Rényi divergence (in another name, sandwiched Rényi relative entropy) and des…
Sequential isomorphisms between the sets of von Neumann algebra effects
Lajos Molnar
In this paper we describe the structure of all sequential isomorphisms between the sets of von Neumann algebra effects. It turns out that if the underlying algebras have no commuta…