On fixed points of self maps of the free ball
| dc.contributor.author | Shamovich, Eli | |
| dc.date.accessioned | 2018-10-18 16:13:16 (GMT) | |
| dc.date.available | 2018-10-18 16:13:16 (GMT) | |
| dc.date.issued | 2018-07-01 | |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.jfa.2018.03.004 | |
| dc.identifier.uri | http://hdl.handle.net/10012/14017 | |
| dc.description | The 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.abstract | In 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.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Noncommutative functions | en |
| dc.subject | Operator algebras | en |
| dc.subject | Complete Pick spaces | en |
| dc.subject | Free ball | en |
| dc.title | On fixed points of self maps of the free ball | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | Shamovich, 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.2018.03.004 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | Pure Mathematics | en |
| uws.typeOfResource | Text | en |
| uws.typeOfResource | Text | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Post-Doctorate | en |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International