Geodesic
A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 499-501.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$.
Classification : 46G05, 46G25, 49J50, 49J52
Keywords: Rolle’s Theorem; Hilbert space; polynomial 
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     author = {Ferrer, Jes\'us},
     title = {A polynomial of degree four not satisfying {Rolle{\textquoteright}s} {Theorem} in the unit ball of $l_2$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {499--501},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {2005},
     mrnumber = {2137156},
     zbl = {1081.46030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a19/}
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Ferrer, Jesús. A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 499-501. http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a19/