Universal bounds for matrix semigroups

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

Abstrakty

EN

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.

Kategorie tematyczne

• 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory
• 15A30: Algebraic systems of matrices

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 203
• Numer: 1
• Strony: 69-77

Daty

wydano

2011

Twórcy

autor

Leo Livshits

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

autor

Gordon MacDonald

• Department of Mathematics and Statistics, University of Prince Edward Island, Charlottetown, PE, Canada C1A 4P3

autor

Heydar Radjavi

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

Identyfikatory

DOI

10.4064/sm203-1-4