Some Properties of K-Frames in Hilbert Spaces |
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Authors: | Xiangchun Xiao Yucan Zhu Laura Găvruţa |
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Affiliation: | 1. Department of Mathematics and Computer science, Fuzhou University, Fuzhou, 350002, People’s Republic of China 2. Department of Mathematics, “Politehnica” University of Timisoara, Piata Victoriei no. 2, 300006, Timisoara, Romania
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Abstract: | K-frames were recently introduced by G?vru?a in Hilbert spaces to study atomic systems with respect to a bounded linear operator. From her discussions there are many differences between K-frames and ordinary frames, so in this paper we further discuss the interchangeability of two Bessel sequences with respect to a K-frame, where K is a bounded linear operator with closed range. We also give several methods to construct K-frames. In the end we discuss the stability of a more general perturbation for K-frame. |
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