“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 17150 |
|
| Abstract: | |
|
Let $H$ be an ultraspherical hypergroup and let $A(H)$ be the Fourier algebra associated with $H.$ In this paper we study the dual and the double dual of $A(H).$ We prove among other things that the subspace of all uniformly continuous functionals on $A(H)$ forms a $C^*$-algebra. We also prove that the double dual $A(H)^{\ast\ast}$ is neither commutative nor semisimple w.r.t. the Arens product, unless the underlying hypergroup $H$ is finite. Finally, we study the unit elements of $A(H)^{\ast\ast}.$
Download TeX format |
|
| back to top | |
