Based on the operator theory,the stability of K-frame vector for unitary system in Hilbert spaces H was discussed. According to the corresponding relation between frame and analysis operator,we gave some results and proofs,which are the sums of two frame for unitary system in Hilbert spaces is frame for unitary system in the sum of spaces,and improved the existing literature related conclusions.
框架理论是由Duffin R.J和Schaeffer A C[1]在1952年研究非调和Fourier分析时提出的。但直到1986年,Daubechies,Grossmann和Meyer[2]的突破性研究,才使框架理论被广泛关注,并取得一系列重要研究成果[3-8]。框架作为Hilbert空间上基的推广,使得空间中任意元素可被框架元素线性组
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