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

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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 |
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Uncontrolled Keywords: | Banach space; Hilbert space |

Subjects: | Sciences > Mathematics > Numerical analysis |

ID Code: | 15303 |

Deposited On: | 22 May 2012 09:43 |

Last Modified: | 06 Feb 2014 10:21 |

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