Multipliers and uniformly continuous functionals over fourier algebras of ultraspherical hypergroups

Multipliers of Multidimensional Fourier Algebras

Let G be a locally compact σ-compact group. Motivated by an earlier notion for discrete groups due to Effros and Ruan, we introduce the multidimensional Fourier algebra A(G) of G. We characterise the completely bounded multidimensional multipliers associated with A(G) in several equivalent ways. In particular, we establish a completely isometric embedding of the space of all n-dimensional compl...

FUNCTIONS ON MULTIPLIERS OF p-FOURIER ALGEBRAS

Multipliers on Modules Over the Fourier Algebra

Let G be an infinite compact group and G its dual. For 1< p < oom P(G) is a module over 21(G) A(G), the Fourier algebra of G. For 1 < p, q < o0, let Ip q = HomA(G)( P(G), ?'(G)). If G is abelian, then Jll is the space of LP(G)-multipliers. For 1 < p < 2 and p the conjugate index of p, A(G) -1,1 p,p p, p 2, 2 (G). Further, the space ll is the dual of a space called d p a subspace of eo(G). Using...

Measurable Schur Multipliers and Completely Bounded Multipliers of the Fourier Algebras

Abstract. Let G be a locally compact group, L(G) be the usual Lspace for 1 ≤ p ≤ ∞ and A(G) be the Fourier algebra ofG. Our goal is to study, in a new abstract context, the completely bounded multipliers of A(G), which we denote McbA(G). We show that McbA(G) can be characterised as the “invariant part” of the space of (completely) bounded normal L∞(G)-bimodule maps on B(L(G)), the space of boun...

Some Multipliers Results on Compact Hypergroups

A hypergroup is roughly speaking a locally compact Hausdorff space which has enough structure so that a convolution on the corresponding vector space of Radon measures makes it a Banach algebra. Hypergroups generalize in many ways topological groups. In this paper we extend to compact not necessarily commutative hypergroups some basic techniques on multipliers set forth for compact groups in He...