Singular traces. Volume 1. Theory

DOI10.1515/9783110378054zbMath1495.47001OpenAlexW4205797609MaRDI QIDQ2028710

Dmitriy Zanin, Steven Lord, Pheodor A. Sukochev

Publication date: 1 June 2021

Published in: De Gruyter Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110378054

zbMATH Keywords

traceidealDixmier tracesingular trace

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Noncommutative topology (46L85) Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Noncommutative measure and integration (46L51) Integral operators (47G10) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Noncommutative geometry (à la Connes) (58B34) Operator ideals (47L20) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (9)

A calculus for magnetic pseudodifferential super operators ⋮ An application of singular traces to crystals and percolation ⋮ Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups ⋮ Connes integration formula: a constructive approach ⋮ Lorentz spaces depending on more than two parameters ⋮ Thermal time as an unsharp observable ⋮ Asymptotics of singular values for quantised derivatives on noncommutative tori ⋮ A general Dixmier trace formula for the density of states on open manifolds ⋮ An extension of Bhatia and Kittaneh's result and its application

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