Local automorphisms of some quantum mechanical structures
Operator Algebras
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Let H be a separable infinite dimensional complex Hilbert space. We prove that every continuous 2-local automorphism of the poset (that is, partially ordered set) of all idempotents on H is an automorphism. Similar results concerning the orthomodular poset of all projections and the Jordan ring of all selfadjoint operators on H without the assumption on continuity are also presented.
Keywords
Cite
@article{arxiv.math/0108059,
title = {Local automorphisms of some quantum mechanical structures},
author = {Lajos Molnar},
journal= {arXiv preprint arXiv:math/0108059},
year = {2007}
}
Comments
10 pages. To appear in Lett. Math. Phys