| dc.contributor.author | Hamilton, Linus | |
| dc.contributor.author | Moitra, Ankur | |
| dc.date.accessioned | 2021-11-09T19:20:41Z | |
| dc.date.available | 2021-11-09T15:20:36Z | |
| dc.date.available | 2021-11-09T19:20:41Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/137918.2 | |
| dc.description.abstract | © Linus Hamilton and Ankur Moitra. The Paulsen problem is a basic problem in operator theory that was resolved in a recent tour-de-force work of Kwok, Lau, Lee and Ramachandran. In particular, they showed that every -nearly equal norm Parseval frame in d dimensions is within squared distance O(?d13/2) of an equal norm Parseval frame. We give a dramatically simpler proof based on the notion of radial isotropic position, and along the way show an improved bound of O(ϵd2). | en_US |
| dc.description.sponsorship | NSF (Awards CCF-1453261, CCF-1565235) | en_US |
| dc.language.iso | en | |
| dc.relation.isversionof | 10.4230/LIPIcs.ITCS.2019.41 | en_US |
| dc.rights | Creative Commons Attribution 4.0 International license | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | DROPS | en_US |
| dc.title | The Paulsen Problem Made Simple | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Hamilton, Linus and Moitra, Ankur. 2019. "The Paulsen Problem Made Simple." | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2019-11-15T18:30:04Z | |
| dspace.date.submission | 2019-11-15T18:30:08Z | |
| mit.metadata.status | Publication Information Needed | en_US |
