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A note on noncommutative moment problems

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Abstract

Noncommutative moment problems for C*-algebras are studied. We generalize a result of Hadwin on tracial states to nontracial case. Our results are applied to obtain simple solutions to moment problems on the square and the circle as well as extend the positive unital functionals from a (discrete) complex group algebra to states on the group C*-algebra.

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References

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Authors and Affiliations

  1. School of Sciences, Hebei University of Technology, 300130, Tianjin, China

    Xiujuan Ma

  2. Mathematics Institute, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100080, Beijing, China

    Xiujuan Ma

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  1. Xiujuan Ma
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Correspondence to Xiujuan Ma.

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Ma, X. A note on noncommutative moment problems. Sci. China Ser. A-Math. 48, 1144–1151 (2005). https://doi.org/10.1360/022004-104

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  • DOI: https://doi.org/10.1360/022004-104

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