Complutense University Library

On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its Dual

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

[img] PDF
Restricted to Repository staff only until 2020.

1MB

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

View download statistics for this eprint

==>>> Export to other formats

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:06 Feb 2014 10:21

Repository Staff Only: item control page