Universal bounds for matrix semigroups
Leo Livshits ; Gordon MacDonald ; Heydar Radjavi
Studia Mathematica, Tome 204 (2011), p. 69-77 / Harvested from The Polish Digital Mathematics Library
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We show that any compact semigroup of n × n matrices is similar to a semigroup bounded by √n. We give examples to show that this bound is best possible and consider the effect of the minimal rank of matrices in the semigroup on this bound.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285802 
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     year = {2011},
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Leo Livshits; Gordon MacDonald; Heydar Radjavi. Universal bounds for matrix semigroups. Studia Mathematica, Tome 204 (2011) pp. 69-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm203-1-4/