Universal bounds for matrix semigroups

Leo Livshits, Gordon MacDonald, and Heydar Radjavi. "Universal bounds for matrix semigroups." Studia Mathematica 203.1 (2011): 69-77. <http://eudml.org/doc/285802>.

@article{LeoLivshits2011,
abstract = {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.},
author = {Leo Livshits, Gordon MacDonald, Heydar Radjavi},
journal = {Studia Mathematica},
keywords = {similarity; norm bounds; matrix semigroups; minimal rank},
language = {eng},
number = {1},
pages = {69-77},
title = {Universal bounds for matrix semigroups},
url = {http://eudml.org/doc/285802},
volume = {203},
year = {2011},
}

TY - JOUR
AU - Leo Livshits
AU - Gordon MacDonald
AU - Heydar Radjavi
TI - Universal bounds for matrix semigroups
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 1
SP - 69
EP - 77
AB - 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.
LA - eng
KW - similarity; norm bounds; matrix semigroups; minimal rank
UR - http://eudml.org/doc/285802
ER -