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Proceedings of the American Mathematical Society

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Inversion of normal operators by polynomial interpolation

Author: J. C. Dunn
Journal: Proc. Amer. Math. Soc. 40 (1973), 225-228
MSC: Primary 47A60
MathSciNet review: 0318934
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Abstract: The inverse of a bounded normal linear operator on a Hilbert space is uniformly approximated by a sequence of Newton interpolation polynomials, provided the operator's spectrum lies in either the right or left open half-planes.

References [Enhancements On Off] (What's this?)

  • [1] J. C. Dunn, On recursive averaging processes and Hilbert space extensions of the contraction mapping principle, J. Franklin Inst. 295 (1973), 117–133. MR 0365246
  • [2] James B. Scarborough, Numerical mathematical analysis, The Johns Hopkins Press, Baltimore; Oxford University Press, London, 1955. 3rd ed. MR 0075671

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Article copyright: © Copyright 1973 American Mathematical Society