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• W2620876914 abstract "It is well known that iterates of quasi-compact operators converge towards a spectral projection, whereas the explicit construction of the limiting operator is in general hard to obtain. Here, we show a simple method to explicitly construct this projection operator, provided that the fixed points of the operator and its adjoint are known which is often the case for operators used in approximation theory. We use an approach related to Riesz-Schauder and Fredholm theory to analyze the iterates of operators on general Banach spaces, while our main result remains applicable without specific knowledge on the underlying framework. Applications for Markov operators on the space of continuous functions $C(X)$ are provided, where $X$ is a compact Hausdorff space." @default.
• W2620876914 created "2017-06-09" @default.
• W2620876914 creator A5052623858 @default.
• W2620876914 date "2017-06-02" @default.
• W2620876914 modified "2023-09-27" @default.
• W2620876914 title "Iterates of Markov operators and their limits" @default.
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