论文标题
受控$ k $ - 融合框架希尔伯特空间
Controlled $K$-Fusion Frame for Hilbert Spaces
论文作者
论文摘要
$ k $ - 融合框架是框架理论中融合帧的概括。在本文中，我们将受控融合框架的概念扩展到受控的$ K $ - 融合框架，并在Hilbert Spaces的受控$ K $ - 融合框架上开发了一些结果，该框架概括了一些对受控融合框架案例的众所周知。另外，我们讨论了受控的贝塞尔$ k $ - 融合序列和受控贝塞尔$ k $ - fusion的一些特征。此外，我们分析了在扰动下受控$ K $ - 融合框架的稳定性条件。
$K$-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled $K$-fusion frames, and we develop some results on the controlled $K$-fusion frames for Hilbert spaces, which generalized some well known of controlled fusion frames case. also we discuss some characterizations of controlled Bessel $K$-fusion sequences and of controlled Bessel $K$-fusion. Further, we analyse stability conditions of controlled $K$-fusion frames under perturbation.
