Geometric interpolation in p-Schatten class

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:340

Article

Conde, Cristian

关键词: complex interpolation method;    Finsler norm;    p-Schatten class;   

DOI  :  10.1016/j.jmaa.2007.09.008

来源: Elsevier

【 摘 要 】

The aim of this work is to apply the complex interpolation method to norms of n-tuples of operators in the p-Schatten classes of a Hilbert space H. The norms considered define Finsler metrics in a certain manifold of positive operators, and can be regarded as weighted p-norms, the weight being a positive invertible operator. As a by-product, we obtain Clarkson's type inequalities. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free