Mean ergodicity of multiplication operators in weighted spaces of holomorphic functions
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- Bonet, J. & Ricker, W.J. Arch. Math. (2009) 92: 428. doi:10.1007/s00013-009-3061-1
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Multiplication operators in weighted Banach (and locally convex) spaces of functions holomorphic in the unit disc are well known. In this note we investigate the connection between power boundedness, mean ergodicity and uniform mean ergodicity of such operators.