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Linear combination of projections in von Neumann factors

dc.contributor.authorGoldstein, Stanisław
dc.contributor.authorPaszkiewicz, Adam
dc.date.accessioned2021-11-17T10:38:04Z
dc.date.available2021-11-17T10:38:04Z
dc.date.issued2020
dc.identifier.citationStanisław 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.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11089/39789
dc.description.abstractIt 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.isoenpl_PL
dc.publisherSpringer Naturepl_PL
dc.relation.ispartofseriesJournal of Mathematical Analysis and Applications;489
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectProjectionpl_PL
dc.subjectLinear combinationpl_PL
dc.subjectFactorpl_PL
dc.titleLinear combination of projections in von Neumann factorspl_PL
dc.typeArticlepl_PL
dc.page.number17pl_PL
dc.contributor.authorAffiliationFaculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Polandpl_PL
dc.contributor.authorAffiliationFaculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Polandpl_PL
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dc.contributor.authorEmailstanislaw.goldstein@wmii.uni.lodz.plpl_PL
dc.contributor.authorEmailadam.paszkiewicz@wmii.uni.lodz.plpl_PL
dc.identifier.doi10.1016/j.jmaa.2020.124135
dc.relation.volume1pl_PL
dc.disciplinematematykapl_PL


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