Lidskii-Type Formulae for Dixmier Traces

A Sedaev; Fyodor Sukochev; Dmitriy Zanin

doi:10.1007/s00020-010-1828-1

Lidskii-Type Formulae for Dixmier Traces

A Sedaev, Fyodor Sukochev, Dmitriy Zanin

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geometry.

Original language	English
Article number	Current Contents search
Pages (from-to)	551-572
Number of pages	22
Journal	Integral Equations and Operator Theory
Volume	68
Issue number	4
DOIs	https://doi.org/10.1007/s00020-010-1828-1
Publication status	Published - Dec 2010

Keywords

Dixmier traces
Lidskii formula

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10.1007/s00020-010-1828-1

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title = "Lidskii-Type Formulae for Dixmier Traces",

abstract = "We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geometry.",

keywords = "Dixmier traces, Lidskii formula",

author = "A Sedaev and Fyodor Sukochev and Dmitriy Zanin",

year = "2010",

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doi = "10.1007/s00020-010-1828-1",

language = "English",

volume = "68",

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T1 - Lidskii-Type Formulae for Dixmier Traces

AU - Sedaev, A

AU - Sukochev, Fyodor

AU - Zanin, Dmitriy

PY - 2010/12

Y1 - 2010/12

N2 - We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geometry.

AB - We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geometry.

KW - Dixmier traces

KW - Lidskii formula

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U2 - 10.1007/s00020-010-1828-1

DO - 10.1007/s00020-010-1828-1

M3 - Article

SN - 0378-620X

VL - 68

SP - 551

EP - 572

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 4

M1 - Current Contents search

ER -

Lidskii-Type Formulae for Dixmier Traces

Abstract

Keywords

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