In this paper, we study when a composition operator or a weighted composition operator on a Banach space of holomorphic functions is a Ritt operator or an unconditional Ritt operator. It turns out that for composition operators or weighted composition operators on a Banach space of holomorphic functions, if a composition operator or a weighted composition operator is a Ritt operator, then it is also an unconditional Ritt operator.

中文翻译：

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加权/未加权复合算子，即 Ritt 或无条件 Ritt 算子

在本文中，我们研究了全纯函数的 Banach 空间上的复合算子或加权复合算子何时是 Ritt 算子或无条件 Ritt 算子。事实证明，对于全纯函数的 Banach 空间上的复合算子或加权复合算子，如果复合算子或加权复合算子是 Ritt 算子，那么它也是无条件 Ritt 算子。