A Hilbert Lattice With a Small Automorphism Group
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 182-185
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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.
Künzi, Urs-Martin. A Hilbert Lattice With a Small Automorphism Group. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 182-185. doi: 10.4153/CMB-1987-026-0
@article{10_4153_CMB_1987_026_0,
author = {K\"unzi, Urs-Martin},
title = {A {Hilbert} {Lattice} {With} a {Small} {Automorphism} {Group}},
journal = {Canadian mathematical bulletin},
pages = {182--185},
year = {1987},
volume = {30},
number = {2},
doi = {10.4153/CMB-1987-026-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-026-0/}
}
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