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
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We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$.
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
Keywords: Rolle’s Theorem; Hilbert space; polynomial
@article{CMJ_2005_55_2_a19,
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},
year = {2005},
volume = {55},
number = {2},
mrnumber = {2137156},
zbl = {1081.46030},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_2_a19/}
}
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/