A Hilbert Lattice With a Small Automorphism Group
Urs-Martin Künzi · Canadian Mathematical Bulletin · 1987
Abstract We construct an orthomodular inner product space to answer the questions posed by R. P. Morash in his paper "Angle bisection and orthoautomorphisms in Hilbert lattices" [6]. For example we show that every automorphism of the Hilbert lattice belonging to our inner product space has the property, that no atom is orthogonal to its image.