Czechoslovak Mathematical Journal, Vol. 55, No. 2, pp. 499-501, 2005

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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