2002/11/29 by Georges Chevalier, Chevalier, Georges
Mathematics · #06C15 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:06C15
paper · pdf · doi:10.48550/arxiv.math/0211461
10pages
arxiv created 2003/10/07 · arxiv updated 2009/11/30
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.