In this paper we characterize quasi-contraction, stable and convergent weighted conditional type (WCT) operators on Lᵖ(μ). Indeed we provide equivalent conditions for quasi-contraction WCT operators. Also, we prove that convergence, uniformly stability, strongly stability and weakly stability of WCT operators are equivalent. Finally we provided some concrete examples to illustrate our main results.
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Estaremi et al. (2024) studied this question.
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