Universal bounds for positive matrix semigroups

Leo Livshits, et al. "Universal bounds for positive matrix semigroups." Studia Mathematica 232.2 (2016): 143-153. <http://eudml.org/doc/285776>.

@article{LeoLivshits2016,
abstract = {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.},
author = {Leo Livshits, Gordon MacDonald, Laurent Marcoux, Heydar Radjavi},
journal = {Studia Mathematica},
keywords = {semigroup; matrix; similarity; norm bounds},
language = {eng},
number = {2},
pages = {143-153},
title = {Universal bounds for positive matrix semigroups},
url = {http://eudml.org/doc/285776},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Leo Livshits
AU - Gordon MacDonald
AU - Laurent Marcoux
AU - Heydar Radjavi
TI - Universal bounds for positive matrix semigroups
JO - Studia Mathematica
PY - 2016
VL - 232
IS - 2
SP - 143
EP - 153
AB - 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.
LA - eng
KW - semigroup; matrix; similarity; norm bounds
UR - http://eudml.org/doc/285776
ER -