Constructs Dixmier traces via eigenvalue sequences in weak Lorentz ideals, gives spectral characterization of measurable operators answering Connes, and applies to nonclassical Weyl laws.
PreprintarXiv:2407.05296
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Nonclassical Weyl laws and Connes' Integration for weak Lorentz ideals, I
Constructs Dixmier traces via eigenvalue sequences in weak Lorentz ideals, gives spectral characterization of measurable operators answering Connes, and applies to nonclassical Weyl laws.