Universal bounds for positive matrix semigroups

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dc.contributor.authorLivshits, Leo
dc.contributor.authorMacDonald, Gordon
dc.contributor.authorMarcoux, Laurent
dc.contributor.authorRadjavi, Heydar
dc.date.accessioned2020-04-02T18:22:01Z
dc.date.available2020-04-02T18:22:01Z
dc.date.issued2016
dc.descriptionVersion of record at https://doi.org/10.4064/sm8421-3-2016en
dc.description.abstractWe 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.en
dc.description.sponsorshipFirst author’s research was supported by Colby College Natural Sciences Division Grant. The other authors’ research was supported by NSERC (Canada) Discovery Grants.en
dc.identifier.urihttps://doi.org/10.4064/sm8421-3-2016
dc.identifier.urihttp://hdl.handle.net/10012/15736
dc.language.isoenen
dc.publisherPolish Academy of Sciencesen
dc.subjectpositive matrix semigroupsen
dc.titleUniversal bounds for positive matrix semigroupsen
dc.typeArticleen
dcterms.bibliographicCitationLivshits, Leo, Gordon MacDonald, Laurent Marcoux, and Heydar Radjavi. “Universal bounds for positive matrix semigroups.” Studia Mathematica 232 (2016): 143–53. https://doi.org/10.4064/sm8421-3-2016.en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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