3 papers
math.FA2019
Maps on positive cones in operator algebras preserving power means
Lajos Molnár
In this paper we consider power means of positive Hilbert space operators both in the conventional and in the Kubo-Ando senses. We describe the corresponding isomorphisms (bijectiv…
math.OA2019
Quantum Rényi relative entropies on density spaces of -algebras: their symmetries and their essential difference
Lajos Molnár
We extend the definitions of different types of quantum Rényi relative entropy from the finite dimensional setting of density matrices to density spaces of -algebras. We show…
math.FA2019
On 2-local *-automorphisms and 2-local isometries of B(H)
Lajos Molnár
It is an important result of \v Semrl which states that every 2-local automorphism of the full operator algebra over a separable Hilbert space is necessarily an automorphism. In th…