Holomorphic semi-almost periodic functions (Q989949)

The authors study the Banach algebra \(A\) of bounded holomorphic functions on the unit disk whose boundary values belong to the algebra of semi-almost periodic functions on the circle. Related algebras are considered, too. Some specific subjects dealt with are: the approximation property (that is, for every compact set \(K\subseteq A\) and every \(\epsilon>0\) there exists a linear operator \(T:A\to A\) of finite rank so that \(||Tx-x||_A<\epsilon\) for every \(x\in K\)) and the corona property of \(A\).