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Universal bounds for positive matrix semigroups

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PositiveUniversalFeb15-2016.pdf (256.1 KB)

Date

2016

Authors

Livshits, Leo
MacDonald, Gordon
Marcoux, Laurent
Radjavi, Heydar

Journal Title

Journal ISSN

Volume Title

Publisher

Polish Academy of Sciences

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.

Description

Version of record at https://doi.org/10.4064/sm8421-3-2016

Keywords

positive matrix semigroups

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Citation

URI

https://doi.org/10.4064/sm8421-3-2016
 http://hdl.handle.net/10012/15736

Collections

Waterloo Research
Pure Mathematics