Maps on Hilbert space effect algebras preserving norms of operator means

We prove that every bijective transformation on the set of Hilbert space effects which preserves a symmetric norm of a given Kubo–Ando mean is necessarily implemented by either a unitary or an antiunitary operator.

Elmentve itt :
Bibliográfiai részletek
Szerzők: Gaál Marcell
Nagy Gergő
Dokumentumtípus: Cikk
Megjelent: 2018
Sorozat:Acta scientiarum mathematicarum 84 No. 1-2
Kulcsszavak:Algebra
Online Access:http://acta.bibl.u-szeged.hu/55810
Leíró adatok
Tartalmi kivonat:We prove that every bijective transformation on the set of Hilbert space effects which preserves a symmetric norm of a given Kubo–Ando mean is necessarily implemented by either a unitary or an antiunitary operator.
Terjedelem/Fizikai jellemzők:201-208
ISSN:0001-6969