Measure Theory in Noncommutative Spaces

dc.contributor.authorLord, S.
dc.contributor.authorSukochev, F.
dc.date.accessioned2019-02-09T19:36:57Z
dc.date.available2019-02-09T19:36:57Z
dc.date.issued2010
dc.description.abstractThe integral in noncommutative geometry (NCG) involves a non-standard trace called a Dixmier trace. The geometric origins of this integral are well known. From a measure-theoretic view, however, the formulation contains several difficulties. We review results concerning the technical features of the integral in NCG and some outstanding problems in this area. The review is aimed for the general user of NCG.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html. The authors thank N. Kalton for many discussions concerning Dixmier traces and symmetric functionals.uk_UA
dc.identifier.citationMeasure Theory in Noncommutative Spaces / S. Lord, F. Sukochev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 75 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 46L51; 47B10; 58B34
dc.identifier.otherDOI:10.3842/SIGMA.2010.072
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146508
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMeasure Theory in Noncommutative Spacesuk_UA
dc.typeArticleuk_UA

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