### Impacto

### Downloads

Downloads per month over past year

Cobos, Fernando and Schonbek, Tomas
(1998)
*On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual.*
Houston Journal of Mathematics, 24
(2).
pp. 325-344.
ISSN 0362-1588

PDF
Restringido a Repository staff only 1MB |

Official URL: http://math.uh.edu/~hjm/pdf24(2)/07COBOS.pdf

## Abstract

We show that if the duality between a Banach space A and

its anti-dual A* is given by the inner product of a Hilbert space H, then (A, A*)1/2,2 = H = (A,A*)[l,2~, provided A satisfies certain mild conditions. We do not assume A is reflexive. Applications are given to normed ideals of operators.

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

Uncontrolled Keywords: | Banach space; Hilbert space |

Subjects: | Sciences > Mathematics > Numerical analysis |

ID Code: | 15303 |

Deposited On: | 22 May 2012 09:43 |

Last Modified: | 21 Jun 2018 08:15 |

### Origin of downloads

Repository Staff Only: item control page