The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Universal bounds for matrix semigroups”

Universal bounds for positive matrix semigroups

Leo Livshits, Gordon MacDonald, Laurent Marcoux, Heydar Radjavi (2016)

Studia Mathematica

Similarity:

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.