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The Dixmier trace and other traces

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Publication:330035
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DOI10.4171/LEM/61-3/4-8zbMath1358.46062OpenAlexW2513630888MaRDI QIDQ330035

Alain Guichardet

Publication date: 24 October 2016

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/lem/61-3/4-8

zbMATH Keywords

noncommutative geometryDixmier traceoperator idealssingular traceBanach limitDixmier idealFredholm module


Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative measure and integration (46L51) Noncommutative geometry (à la Connes) (58B34) History of functional analysis (46-03)


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The existence of singular traces on simply generated operator ideals, A new view at Dixmier traces on \(\mathfrak{L}_{1,\infty} (H)\), Extreme points of the set of dilation-invariant Banach limits, Geometry of Banach limits and their applications, Traces of Hilbert space operators and their recent history, A direct approach to positive normalised traces on simply generated ideals, The main classes of invariant Banach limits, Banach limit, fixed points and Ulam stability



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