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A Hilbert Lattice With a Small Automorphism Group

Published online by Cambridge University Press:  20 November 2018

Urs-Martin Künzi
Urs-Martin Künzi*
Affiliation:
Seminar Für Logik Universität, Bonn 5300 Bonn 1 W., Germany
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Abstract

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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.

Keywords

Primary 51D2515A63Secondary 10C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 182 - 185
Copyright
Copyright © Canadian Mathematical Society 1987

References

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