8 citations · 9 across the 4 of their papers we have counts for
7 papers
The structure of maps on the space of all quantum pure states that preserve a fixed quantum angle
György Pál Gehér, Michiya Mori
Let be a Hilbert space and be the projective space of all quantum pure states. Wigner's theorem states that every bijection that preserves the qua…
Maps preserving absolute continuity and singularity of positive operators
György Pál Gehér, Zsigmond Tarcsay, Titkos Tamás
In this paper we consider the cone of all positive, bounded operators acting on an infinite dimensional, complex Hilbert space, and examine bijective maps that preserve absolute co…
Isometric study of Wasserstein spaces --- the real line
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space . It turned out that the case of the rea…
Isometries of Grassmann spaces, II
Gy. P. Gehér, P. Šemrl
Botelho, Jamison, and Molnár \cite{BJM}, and Geh\' er and Šemrl \cite{GeS} have recently described the general form of surjective isometries of Grassmann spaces of all projections…
Wigner's theorem on Grassmann spaces
György Pál Gehér
Wigner's celebrated theorem, which is particularly important in the mathematical foundations of quantum mechanics, states that every bijective transformation on the set of all rank…
Asymptotic behaviour of Hilbert space operators with applications
György Pál Gehér
This dissertation summarizes my investigations in operator theory during my PhD studies. The first chapter is an introduction to that field of operator theory which was developed b…