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Czechoslovak Mathematical Journal, Vol. 55, No. 2, pp. 499-501, 2005
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#
A polynomial of degree four not satisfying

Rolle's Theorem in the unit ball of $l_2$

##
Jesus Ferrer

Departament d'Analisi Matematica, Universitat de Valencia, 46100 Burjassot (Valencia), Spain, e-mail: ` Jesus.Ferrer@uv.es`

**Abstract:** We give an example of a fourth degree polynomial which does not satisfy Rolle's Theorem in the unit ball of $l_2$.

**Keywords:** Rolle's Theorem, Hilbert space, polynomial

**Classification (MSC 2000):** 49J50, 49J52

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