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- W2303843211 abstract "In the present paper we review recent advances in the theory of Dixmier traces and aspects of their application to noncommutative analysis and geometry. We describe J. Dixmier’s original construction of singular traces together with recent revisions of his ideas. We pay particular attention to subclasses of Dixmier traces related to exponentiation invariant extended limits and notions of measurability due to A. Connes. We discuss in detail the applications of Dixmier traces to the study of spectral properties of pseudo-differential operators and a very recent application of Dixmier traces in the study the Fréchet differentiability of Haagerup’s L p norm." @default.
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- W2303843211 date "2016-07-01" @default.
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- W2303843211 title "Dixmier traces and non-commutative analysis" @default.
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- W2303843211 doi "https://doi.org/10.1016/j.geomphys.2016.03.010" @default.
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