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Polynomial interpolation of operators in Hilbert spaces

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Abstract

An operator polynomial is constructed as the limit of a smoothing polynomial as λ → ∞. Using its interpolation properties, necessary and sufficient conditions for the existence of a solution of the polynomial interpolation problem are found. The set of all interpolating polynomials in a Hilbert space is described. Bibliography:4 titles.

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References

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Authors
  1. V. V. Khlobystov
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Additional information

Translated fromObchyslyuval’na ta Prykladna Matematyka, No. 77, 1993, pp. 44–54.

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Khlobystov, V.V. Polynomial interpolation of operators in Hilbert spaces. J Math Sci 77, 3426–3432 (1995). https://doi.org/10.1007/BF02367989

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  • DOI: https://doi.org/10.1007/BF02367989

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