Orthogonally additive polynomials on Fourier algebras

被引：7

作者：

Alaminos, J. ^{[1
]}

Extremera, J. ^{[1
]}

Villena, A. R. ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 01期

关键词：

Fourier algebra; Figa-Talamanca-Herz algebra; C*-algebra; Orthogonally additive polynomial; Orthosymmetric multilinear map; OPERATOR SPACE STRUCTURE; MAPS;

D O I：

10.1016/j.jmaa.2014.08.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that an n-homogeneous polynomial P on the Fourier algebra A(G) of a locally compact group G can be represented in the form P(f) = < T, f(n)> (f is an element of A(G)) for some T in the group von Neumann algebra VN(G) of G if and only if it is orthogonally additive and completely bounded. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：72 / 83

页数：12

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