ACTA SCIENTIARUM MATHEMATICARUM, cilt.84, ss.673-685, 2018 (ESCI)
Let A be a complex commutative semisimple Banach algebra and let T be a power bounded multiplier of A. This paper is concerned with finding necessary and sufficient conditions for the convergence of the sequence {T-n a} (a is an element of A) in A. Some related problems are also discussed.