Measure Theory in Noncommutative Spaces
dc.contributor.author | Lord, S. | |
dc.contributor.author | Sukochev, F. | |
dc.date.accessioned | 2019-02-09T19:36:57Z | |
dc.date.available | 2019-02-09T19:36:57Z | |
dc.date.issued | 2010 | |
dc.description.abstract | The 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.sponsorship | This 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.citation | Measure 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.issn | 1815-0659 | |
dc.identifier.other | 2010 Mathematics Subject Classification: 46L51; 47B10; 58B34 | |
dc.identifier.other | DOI:10.3842/SIGMA.2010.072 | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/146508 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут математики НАН України | uk_UA |
dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
dc.status | published earlier | uk_UA |
dc.title | Measure Theory in Noncommutative Spaces | uk_UA |
dc.type | Article | uk_UA |
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