### Impacto

Ferrera Cuesta, Juan
(2002)
*Norm-attaining polynomials and differentiability.*
Studia Mathematica, 151
(1).
pp. 1-21.
ISSN 0039-3223

## Abstract

We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Frechet differentiable: We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.

Item Type: | Article |
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Uncontrolled Keywords: | Banach spaces; Polynomials; Norm differentiability; Shmul'yans's test; Strongly attains its norm; Fréchet differentiability; Gâteaux differentiability |

Subjects: | Sciences > Mathematics > Mathematical analysis |

ID Code: | 15248 |

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Deposited On: | 17 May 2012 07:46 |

Last Modified: | 17 May 2012 07:46 |

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