Automorphisms of an orthomodular poset of projections
Rings and Algebras
2007-05-23 v3
Abstract
By using a lattice characterization of continuous projections defined on a topological vector space E arising from a dual pair, we determine the automorphism group of their orthomodular poset Proj(E) by means of automorphisms and anti-automorphisms of the lattice L of all closed subspaces of E. A connection between the automorphism group of the ring of all continuous linear mappings defined on E and the automorphism group of the orthoposet Proj(E) is established.
Keywords
Cite
@article{arxiv.math/0211461,
title = {Automorphisms of an orthomodular poset of projections},
author = {Georges Chevalier},
journal= {arXiv preprint arXiv:math/0211461},
year = {2007}
}
Comments
10pages