Universal bounds for positive matrix semigroups
Leo Livshits ; Gordon MacDonald ; Laurent Marcoux ; Heydar Radjavi
Studia Mathematica, Tome 233 (2016), p. 143-153 / Harvested from The Polish Digital Mathematics Library
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We show that any compact semigroup of positive n × n matrices is similar (via a positive diagonal similarity) to a semigroup bounded by √n. We give examples to show this bound is best possible. We also consider the effect of additional conditions on the semigroup and obtain improved bounds in some cases.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:285776 
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Leo Livshits; Gordon MacDonald; Laurent Marcoux; Heydar Radjavi. Universal bounds for positive matrix semigroups. Studia Mathematica, Tome 233 (2016) pp. 143-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8421-3-2016/