Local automorphisms of the sets of states and effects on a Hilbert space

Authors
Citation
M. Barczy et M. Toth, Local automorphisms of the sets of states and effects on a Hilbert space, REP MATH PH, 48(3), 2001, pp. 289-298
Citations number
17
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
48
Issue
3
Year of publication
2001
Pages
289 - 298
Database
ISI
SICI code
0034-4877(200112)48:3<289:LAOTSO>2.0.ZU;2-3
Abstract
We prove that every local automorphism (affine I-local, or non-affine 2-loc al) of the sets of all states on a Hilbert space is an automorphism. We als o present similar results concerning the various automorphisms of the set o f all effects.