Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces

DOI10.1016/j.aim.2010.09.025zbMath1216.47030OpenAlexW2049682819MaRDI QIDQ626120

Alexander A. Sedaev, Nigel J. Kalton, Pheodor A. Sukochev

Publication date: 22 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.09.025

zbMATH Keywords

Dixmier tracesfully symmetric functionalsMarcinkiewicz operator ideals

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator ideals (47L20)

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Cites Work

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• Symmetric functionals and singular traces
• Singular symmetric functionals
• Dixmier traces and some applications in non-commutative geometry
• Singular symmetric functionals and Banach limits with additional invariance properties
• Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals

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