1981
DOI: 10.1007/bf01682745
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An integrality theorem for subnormal operators

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Cited by 17 publications
(10 citation statements)
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“…Further on, it was established by Carey and Pincus as a byproduct of a decade of groundbreaking discoveries [8] that there exists a Borel measurable set (μ) satisfying…”
Section: Trace and Determinant Formulasmentioning
confidence: 99%
See 1 more Smart Citation
“…Further on, it was established by Carey and Pincus as a byproduct of a decade of groundbreaking discoveries [8] that there exists a Borel measurable set (μ) satisfying…”
Section: Trace and Determinant Formulasmentioning
confidence: 99%
“…A trace formula discovered in the 1970-ies by Helton and Howe and an equivalent determinant formula independently obtained by Carey and Pincus provide effective formulas linking the moments of the principal function (in our case the characteristic function of the cloud of the measure μ) and traces of commutators of smooth functions applied to S μ . The third deep result we rely on is due to Carey and Pincus, asserting that the principal function of a subnormal operator is integer valued [8].…”
Section: Introductionmentioning
confidence: 99%
“…Further on, it was established by Carey and Pincus as a byproduct of a decade of groundbreaking discoveries [8] that there exists a Borel measurable set Σ(µ) satisfying…”
Section: 2mentioning
confidence: 99%
“…A trace formula discovered in the 1970-ies by Helton and Howe and an equivalent determinant formula independently obtained by Carey and Pincus provide effective formulas linking the moments of the principal function (in our case the characteristic function of the cloud of the measure µ) and traces of commutators of smooth functions applied to S µ . The third deep result we rely on is due to Carey and Pincus, asserting that the principal function of a subnormal operator is integer valued [8].…”
Section: Introductionmentioning
confidence: 99%
“…Pincus, in the articles [9], [10], and [11], and Carey and Pincus, in [2], [3], [1], [5], and [6], create a complete unitary invariant for pure hyponormal operators with trace-class self-commutator which they call the mosaic. This mosaic is created by studying an operatorial phase shift which is based on the decomposition of the hyponormal operator into its real and imaginary parts.…”
Section: The Principal Functionmentioning
confidence: 99%