Universal bounds for positive matrix semigroups

• Autorzy: Leo Livshits , Gordon MacDonald , Laurent Marcoux , Heydar Radjavi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 15A21: Canonical forms, reductions, classification
• 15A30: Algebraic systems of matrices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 232
• Numer: 2
• Strony: 143-153

Daty

wydano

2016

Twórcy

autor

Leo Livshits

• Department of Mathematics, Colby College, Waterville, ME 04901, U.S.A.

autor

Gordon MacDonald

• School of Mathematical and Computational Sciences, University of Prince Edward Island, Charlottetown, PE, C1A 4P3, Canada

autor

Laurent Marcoux

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

autor

Heydar Radjavi

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

Identyfikatory

DOI

10.4064/sm8421-3-2016