On order automorphisms of the effect algebra

We give short proofs of two descriptions given by Šemrl of order automorphisms of the effect algebra. This sheds new light on both formulas that look quite complicated. Our proofs rely on Molnár’s characterization of order automorphisms of the cone of all positive operators.

Elmentve itt :
Bibliográfiai részletek
Szerző: Drnovšek Roman
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2018
Sorozat:Acta scientiarum mathematicarum 84 No. 3-4
Kulcsszavak:Algebra, Automorfizmus
Tárgyszavak:
doi:10.14232/actasm-018-008-7

Online Access:http://acta.bibl.u-szeged.hu/56923
Leíró adatok
Tartalmi kivonat:We give short proofs of two descriptions given by Šemrl of order automorphisms of the effect algebra. This sheds new light on both formulas that look quite complicated. Our proofs rely on Molnár’s characterization of order automorphisms of the cone of all positive operators.
Terjedelem/Fizikai jellemzők:431-437
ISSN:0001-6969