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Structure Induced on Subsets of a Lattice Via Information Gathered from Tensor Products

Published online by Cambridge University Press:  20 November 2018

Brent Smith
Brent Smith*
Affiliation:
Mathematics Department Kansas State University Manhattan, Kansas 66506-2602 U.S.A.
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Abstract

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Suppose that a subset of a finite dimensional lattice has the property that there are many orthogonal tensor products that are almost 1 on the set, then the set is forced to have unusual concentrations of points in small cartesian products.

Keywords

42B99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 1 , 01 March 1994 , pp. 100 - 111
Copyright
Copyright © Canadian Mathematical Society 1994

References

1. Horn, Roger and Johnson, Charles, Topics in Matrix Analysis, Cambridge University Press, 1991.Google Scholar
2. Klemes, Ivo, Existence of Certain Uniform Subsets of a Lattice, Report from the Department of Mathematics and Statistics (92-10), McGill University.Google Scholar