Abstract

In this article, we first provide some sufficient conditions, and necessary and sufficient conditions for K-woven frames to be preserved under a bounded linear operator and particularly, we report that applying two different operators to K-woven frames can leave them K-woven. Several new methods on the construction of K-woven frames are also presented. Finally we show that the perturbation condition involved in one known result on K-woven frames can have a wider choice for the corresponding K-frames.

中文翻译：

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在希尔伯特空间中编织K框架的一些新结果

摘要

在本文中，我们首先提供了一些有条件的条件，以及在有界线性算子下保留K编织框架的必要和充分条件，特别是，我们报道了对K编织框架应用两个不同的算子可以使它们保持K编织。还提出了几种构造K-机织框架的新方法。最终，我们表明，在K编织框架上一个已知结果中涉及的摄动条件对于相应的K框架可以有更广泛的选择。