Measure Theory in Noncommutative Spaces

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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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.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	http://dspace.nbuv.gov.ua/handle/123456789/146508
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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Measure Theory in Noncommutative Spaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA