Mustafayev, HeybetkuluTopal, (Van) Hayri2025-05-102025-05-1020220066-22161730-627210.4064/ap210627-2-122-s2.0-85134526000https://doi.org/10.4064/ap210627-2-12https://hdl.handle.net/20.500.14720/14360Let A be a complex, commutative, and semisimple Banach algebra and let T be a power bounded multiplier on A. We prove a Katznelson-Tzafriri type theorem for T. As an application, we give some results concerning convergence of the sequence {T(n)a} (a is an element of A). Some related problems are also discussed.eninfo:eu-repo/semantics/closedAccessCommutative Banach AlgebraMultiplierLocally Compact Abelian GroupGroup AlgebraMeasure AlgebraConvergenceArticle1283Q4Q3233247WOS:000767860200001