This paper introduces the concept of atomic subspaces with respect to a bounded linear operator. Atomic subspaces generalize fusion frames and this generalization leads to the notion of K-fusion frames. Characterizations of K-fusion frames are discussed. Various properties of K-fusion frames, for example, direct sum, intersection, are studied.

中文翻译：

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算子的原子子空间

本文介绍了关于有界线性算子的原子子空间的概念。原子子空间概括了融合框架，这种概括导致了K融合框架的概念。讨论了K融合框架的特征。研究了K融合帧的各种属性，例如直接和，交集。