55 citations · 264 across the 28 of their papers we have counts for
28 papers
Isometric rigidity of the Wasserstein space over the plane with the maximum metric
Zoltán M. Balogh, Gergely Kiss, Tamás Titkos +1
We study -Wasserstein spaces over the branching spaces and equipped with the maximum norm metric. We show that these spaces are isometrically rigid for…
Operator means, barycenters, and fixed point equations
Dániel Virosztek
The seminal work of Kubo and Ando from 1980 provided us with an axiomatic approach to means of positive operators. As most of their axioms are algebraic in nature, this approach ha…
Isometric rigidity of Wasserstein spaces over Euclidean spheres
György Pál Gehér, Aranka Hrušková, Tamás Titkos +1
We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…
Preservers of the -power and the Wasserstein means on matrices
Richárd Simon, Dániel Virosztek
In one of his recent papers \cite{ML1}, Molnár showed that if is a von Neumann algebra without -type direct summands, then any function from the positive de…
Isometries and isometric embeddings of Wasserstein spaces over the Heisenberg group
Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek
Our purpose in this paper is to study isometries and isometric embeddings of the -Wasserstein space over the Heisenberg group for al…
Quantum Wasserstein isometries on the qubit state space
György Pál Gehér, József Pitrik, Tamás Titkos +1
We describe Wasserstein isometries of the quantum bit state space with respect to distinguished cost operators. We derive a Wigner-type result for the cost operator involving all t…