| Title:
|
A polynomial of degree four not satisfying Rolle’s Theorem in the unit ball of $l_2$ (English) |
| Author:
|
Ferrer, Jesús |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
499-501 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give an example of a fourth degree polynomial which does not satisfy Rolle’s Theorem in the unit ball of $l_2$. (English) |
| Keyword:
|
Rolle’s Theorem |
| Keyword:
|
Hilbert space |
| Keyword:
|
polynomial |
| MSC:
|
46G05 |
| MSC:
|
46G25 |
| MSC:
|
49J50 |
| MSC:
|
49J52 |
| idZBL:
|
Zbl 1081.46030 |
| idMR:
|
MR2137156 |
| . |
| Date available:
|
2009-09-24T11:24:57Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127996 |
| . |
| Reference:
|
[1] J. Ferrer: Rolle’s Theorem for polynomials of degree four in a Hilbert space.J. Math. Anal. App. 265 (2002), 322–331 Zbl pre01718988. Zbl 1086.46032, MR 1876143, 10.1006/jmaa.2001.7708 |
| Reference:
|
[2] S. A. Shkarin: On Rolle’s Theorem in infinite-dimensional Banach spaces.Mat. Zametki 51 (1992), 128–136. Zbl 0786.46044, MR 1172237 |
| . |
