Multipliers and cyclic vectors in the Bloch space (Q1174976)

The authors study cyclic vectors in \({\mathcal B}\), the Bloch space with the weak* topology, and in \({\mathcal B}_ 0\), the ``little'' Bloch space with the norm topology. A result implying that every outer function in \({\mathcal B}({\mathcal B}_ 0)\) is cyclic and a simple characterization of multipliers in \({\mathcal B}\) and \({\mathcal B}_ 0\) are obtained.