Moment problems on compacts of characters of an unital commutative algebra
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914569698410496 |
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| author | Atanasiu, Dragu |
| author_facet | Atanasiu, Dragu |
| contents | In this note we consider linear functionals on an unital commutative R-algebra. We give an integral representation of a nonnegative functional on an Archimedean cone where we do not assume that this cone is a semiring or a quadratic module. We also give a solution of the moment problem on a product of intervals and determine conditions for a functional to be a moment functional on a compact of characters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16124 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moment problems on compacts of characters of an unital commutative algebra Atanasiu, Dragu Functional Analysis In this note we consider linear functionals on an unital commutative R-algebra. We give an integral representation of a nonnegative functional on an Archimedean cone where we do not assume that this cone is a semiring or a quadratic module. We also give a solution of the moment problem on a product of intervals and determine conditions for a functional to be a moment functional on a compact of characters. |
| title | Moment problems on compacts of characters of an unital commutative algebra |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2605.16124 |