### Impacto

### Downloads

Downloads per month over past year

Castillo, Jesús M.F. and García, R. and Jaramillo Aguado, Jesús Ángel
(2001)
*Extension of bilinear forms on Banach spaces.*
Proceedings of the American Mathematical Society, 129
(12).
pp. 3647-3656.
ISSN 0002-9939

PDF
Restringido a Repository staff only 202kB |

Official URL: http://www.ams.org/journals/proc/2001-129-12/S0002-9939-01-05986-X/S0002-9939-01-05986-X.pdf

## Abstract

We study the extension of bilinear and multilinear forms from a given subspace of a Banach space to the whole space. Precisely, an isomorphic embedding j : E --> X is said to be (linearly) N-exact if N-linear forms on E can be (linear and continuously) extended to X through j. We present some necessary and sufficient conditions for j to be 2-exact, as well as several examples of 2-exact embeddings. We answer a problem of Zalduendo: in a cotype 2 space bilinear extendable and integral forms coincide.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Bilinear forms; tensor product; cotype-2 space; embedding |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16650 |

Deposited On: | 09 Oct 2012 10:18 |

Last Modified: | 09 Aug 2018 10:04 |

### Origin of downloads

Repository Staff Only: item control page