RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2005, Volume 77, Issue 5, Pages 727–732 (Mi mz2528)

Connes-Dixmier Traces, Singular Symmetric Functionals, and the Notion of Connes Measurable Element

S. Lorda, A. A. Sedaevb, F. A. Sukocheva

a Flinders University
b Voronezh State Academy of Building and Architecture

Abstract: This paper continues the study started in [1–5]. We show that the construction of abnormal traces used in [1, 2] can adequately be expressed by using the construction of singular symmetric functionals developed in [4, 5]. We completely describe the measurable elements on which all singular symmetric functionals from a certain class take the same values [1]. This result significantly complements the description of the structure of the set of measurable operators even in the special case studied in [1]. For natural subsets of the set of singular symmetric functionals, we obtain new results concerning their normalization properties.

DOI: https://doi.org/10.4213/mzm2528

Full text: PDF file (195 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2005, 77:5, 671–676

Bibliographic databases:

UDC: 517.51

Citation: S. Lord, A. A. Sedaev, F. A. Sukochev, “Connes-Dixmier Traces, Singular Symmetric Functionals, and the Notion of Connes Measurable Element”, Mat. Zametki, 77:5 (2005), 727–732; Math. Notes, 77:5 (2005), 671–676

Citation in format AMSBIB
\Bibitem{LorSedSuk05} \by S.~Lord, A.~A.~Sedaev, F.~A.~Sukochev \paper Connes-Dixmier Traces, Singular Symmetric Functionals, and the Notion of Connes Measurable Element \jour Mat. Zametki \yr 2005 \vol 77 \issue 5 \pages 727--732 \mathnet{http://mi.mathnet.ru/mz2528} \crossref{https://doi.org/10.4213/mzm2528} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2178842} \zmath{https://zbmath.org/?q=an:1131.46303} \elib{http://elibrary.ru/item.asp?id=9155822} \transl \jour Math. Notes \yr 2005 \vol 77 \issue 5 \pages 671--676 \crossref{https://doi.org/10.1007/s11006-005-0067-2} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000230336000007} \elib{http://elibrary.ru/item.asp?id=13940869} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-21644488367}