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A description of (Cp[Lp(M)], Rp[Lp(M)])θ

Published online by Cambridge University Press:  12 July 2007

Quanhua Xu
Quanhua Xu
Affiliation:
Département de Mathématiques, Université de Franche-Comté, 16 Route de Gray 25030 Besançon Cedex, France ([email protected])
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Abstract

We give a simple explicit description of the norm in the complex interpolation space (Cp[Lp(M)], Rp[Lp(M)])θ for any von Neumann algebra M and any 1 ≤ p ≤ ∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 5 , October 2005 , pp. 1073 - 1084
Copyright
Copyright © Royal Society of Edinburgh 2005

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