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Jiménez Sevilla, María del Mar and Payá Albert, Rafael
(1998)
*Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces.*
Studia Mathematica, 127
(2).
pp. 99-112.
ISSN 0039-3223

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Restringido a Repository staff only 207kB |

Official URL: https://eudml.org/doc/216467

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https://eudml.org/ | Publisher |

## Abstract

For each natural number N, we give an example of a Banach space X such that the set of norm attaining N{linear forms is dense in the space of all continuous N{linear forms on X, but there are continuous (N +1){linear forms on X which cannot be approximated by norm attaining (N+1){linear forms. Actually, X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.

Item Type: | Article |
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Uncontrolled Keywords: | Norm attaining multilinear forms and polynomials, weakly continuous multilinear forms and polynomials, Lorentz sequence spaces. |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 22372 |

Deposited On: | 12 Jul 2013 14:08 |

Last Modified: | 12 Dec 2018 15:08 |

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