Generalised norm resolvent convergence: comparison of different concepts
Generalised norm resolvent convergence: comparison of different concepts
复制标题
广义范数解析收敛：不同概念的比较
DOI：
10.4171/jst/442
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Sebastian Zimmer
中科院分区：
文献类型：
--
作者：
O. Post;Sebastian Zimmer
本文证明了由Weidmann和本文第一作者引入的两个广义范数预解式收敛概念是等价的。我们还专注于收敛速度，并提供条件下的收敛速度是相同的两个概念。我们通过大量的例子来说明抽象的结果。
In this paper, we show that the two concepts of generalised norm resolvent convergence introduced by Weidmann and the first author of this paper are equivalent. We also focus on the convergence speed and provide conditions under which the convergence speed is the same for both concepts. We illustrate the abstract results by a large number of examples.