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A polynomial of degree four not satisfying Rolle’s theorem in the unit ball of l 2

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Abstract

We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of l 2.

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References

  1. J. Ferrer: Rolle’s Theorem for polynomials of degree four in a Hilbert space. J. Math. Anal. App. 265 (2002), 322–331 Zbl pre01718988.

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  2. S. A. Shkarin: On Rolle’s Theorem in infinite-dimensional Banach spaces. Mat. Zametki 51 (1992), 128–136 Zbl 0786.46044.

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Authors and Affiliations

  1. Departament d’Analisi Matematica, Universitat de Valencia, 46100, Burjassot (Valencia), Spain

    Jesus Ferrer

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  1. Jesus Ferrer
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Additional information

The author has been partially supported by MCyT and FEDER Project BFM2002-01423.

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Ferrer, J. A polynomial of degree four not satisfying Rolle’s theorem in the unit ball of l 2 . Czech Math J 55, 499–501 (2005). https://doi.org/10.1007/s10587-005-0040-y

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  • DOI: https://doi.org/10.1007/s10587-005-0040-y

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