The second dual algebra of a hypergroup (Q1202211)

Let \(M(X)\) be a hypergroup algebra and \(L(X)\) be the Banach algebra of all measures \(\mu\in M(X)\) such that the function \(x\to|\mu|*\delta_ x\) is norm-continuous. In this paper we investigate the structure of \(L(X)^{**}\), the second dual algebra of \(L(X)\), and among many other things we show that \(\text{wap}L(X)=C(X)\) if \(X\) is compact.