# A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of ${l}_{2}$

Czechoslovak Mathematical Journal (2005)

- Volume: 55, Issue: 2, page 499-501
- ISSN: 0011-4642

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topFerrer, Jesús. "A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$." Czechoslovak Mathematical Journal 55.2 (2005): 499-501. <http://eudml.org/doc/30963>.

@article{Ferrer2005,

abstract = {We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$.},

author = {Ferrer, Jesús},

journal = {Czechoslovak Mathematical Journal},

keywords = {Rolle’s Theorem; Hilbert space; polynomial; Rolle's Theorem; Hilbert space; polynomial},

language = {eng},

number = {2},

pages = {499-501},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$},

url = {http://eudml.org/doc/30963},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Ferrer, Jesús

TI - A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$

JO - Czechoslovak Mathematical Journal

PY - 2005

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 55

IS - 2

SP - 499

EP - 501

AB - We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$.

LA - eng

KW - Rolle’s Theorem; Hilbert space; polynomial; Rolle's Theorem; Hilbert space; polynomial

UR - http://eudml.org/doc/30963

ER -

## References

top- 10.1006/jmaa.2001.7708, J. Math. Anal. App. 265 (2002), 322–331 Zbl pre01718988. (2002) Zbl1086.46032MR1876143DOI10.1006/jmaa.2001.7708
- On Rolle’s Theorem in infinite-dimensional Banach spaces, Mat. Zametki 51 (1992), 128–136. (1992) Zbl0786.46044MR1172237

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