Orthogonally additive polynomials on Fourier algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:422

Article

Alaminos, J.¹  Extremera, J.¹  Villena, A. R.¹ 

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

关键词: Fourier algebra;    Figa-Talamanca-Herz algebra;    C*-algebra;    Orthogonally additive polynomial;    Orthosymmetric multilinear map;   

DOI  :  10.1016/j.jmaa.2014.08.035

来源: Elsevier

【 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.

【 授权许可】

Free