Completely bounded disjointness preserving operators between Fourier algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:382

Article

Lin, Ying-Fen

关键词: Completely bounded operator;    Disjointness preserving operator;    Fourier algebra;    Piecewise affine map;   

DOI  :  10.1016/j.jmaa.2011.04.062

来源: Elsevier

【 摘 要 】

In this paper, we characterize surjective completely bounded disjointness preserving linear operators on Fourier algebras of locally compact amenable groups. We show that such operators are given by weighted homomorphisms induced by piecewise affine proper maps. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free