On the limits of Cesàro means of polynomial powers (Q636767)
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scientific article; zbMATH DE number 5944188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the limits of Cesàro means of polynomial powers |
scientific article; zbMATH DE number 5944188 |
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On the limits of Cesàro means of polynomial powers (English)
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30 August 2011
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The Cesàro means of polynomial powers of contractive operators in Hilbert spaces converge strongly. In the paper it is studied the question of wether the limit is a projection. It is shown that the only polynomials leading to projections for any operator are of degree at most one. It is found a spectral characterisation of operators in Hilbert spaces that have a projection as the limit of their Cesàro means for every reasonable polynomial.
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polynomial Cesàro averages
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unconventional ergodic means
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projections
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roots of unity
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permutation polynomials
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