The paper introduces singular value functions for C*-algebras that generalize singular values of compact operators and establishes their basic properties with examples.
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math.FA 2years
2026 2verdicts
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Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
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Singular value functions for C\(^*\)-algebras
The paper introduces singular value functions for C*-algebras that generalize singular values of compact operators and establishes their basic properties with examples.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.