Abstract:In this paper, we show that the Ritt condition in the case of locally convex spaces can be related to the power boundedness of a universally bounded operator. We will characterize this condition by two geometric properties of the powers and we prove that the Ritt condition will be shown to be equivalent to the Tadmor condition. We study the Ritt condition for a quasinilpotent operator acting on locally convex spaces. Also, an upper bound for the norm of the powers of operators acting on locally convex spaces u… Show more
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