Linear combination of projections in von Neumann factors
| dc.contributor.author | Goldstein, Stanisław | |
| dc.contributor.author | Paszkiewicz, Adam | |
| dc.date.accessioned | 2021-11-17T10:38:04Z | |
| dc.date.available | 2021-11-17T10:38:04Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Stanisław Goldstein, Adam Paszkiewicz, Linear combination of projections in von Neumann factors, Journal of Mathematical Analysis and Applications, Volume 489, Issue 1, 2020, 124135, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2020.124135. | pl_PL |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/11089/39789 | |
| dc.description.abstract | It is shown that any self-adjoint operator in a finite discrete or infinite von Neumann factor can be written as a real linear combination of 4 projections. On the other hand, in any type II1 algebra and in any type II∞ factor there exists a self-adjoint operator that is not a linear combination of 3 projections. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Nature | pl_PL |
| dc.relation.ispartofseries | Journal of Mathematical Analysis and Applications;489 | |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | Projection | pl_PL |
| dc.subject | Linear combination | pl_PL |
| dc.subject | Factor | pl_PL |
| dc.title | Linear combination of projections in von Neumann factors | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 17 | pl_PL |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland | pl_PL |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland | pl_PL |
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| dc.contributor.authorEmail | stanislaw.goldstein@wmii.uni.lodz.pl | pl_PL |
| dc.contributor.authorEmail | adam.paszkiewicz@wmii.uni.lodz.pl | pl_PL |
| dc.identifier.doi | 10.1016/j.jmaa.2020.124135 | |
| dc.relation.volume | 1 | pl_PL |
| dc.discipline | matematyka | pl_PL |
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