On fixed points of self maps of the free ball

dc.contributor.authorShamovich, Eli
dc.date.accessioned2018-10-18T16:13:16Z
dc.date.available2018-10-18T16:13:16Z
dc.date.issued2018-07-01
dc.descriptionThe final publication is available at Elsevier via https://dx.doi.org/10.1016/j.jfa.2018.03.004 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractIn this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ball with a linear subspace. We provide an application for the completely isometric isomorphism problem of multiplier algebras of noncommutative complete Pick spaces.en
dc.identifier.urihttps://dx.doi.org/10.1016/j.jfa.2018.03.004
dc.identifier.urihttp://hdl.handle.net/10012/14017
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectNoncommutative functionsen
dc.subjectOperator algebrasen
dc.subjectComplete Pick spacesen
dc.subjectFree ballen
dc.titleOn fixed points of self maps of the free ballen
dc.typeArticleen
dcterms.bibliographicCitationShamovich, E. (2018). On fixed points of self maps of the free ball. Journal of Functional Analysis, 275(2), 422–441. doi:10.1016/j.jfa.2018.03.004en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelPost-Doctorateen
uws.typeOfResourceTexten
uws.typeOfResourceTexten

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