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Article

Ferrer, Jesús
A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 499-501
MSC: 46G05, 46G25, 49J50, 49J52 | MR 2137156 | Zbl 1081.46030
Keywords:
Rolle’s Theorem; Hilbert space; polynomial
Summary:
We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$.
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. DOI 10.1006/jmaa.2001.7708 | MR 1876143 | Zbl 1086.46032
[2] S. A.  Shkarin: On Rolle’s Theorem in infinite-dimensional Banach spaces. Mat. Zametki 51 (1992), 128–136. MR 1172237 | Zbl 0786.46044
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