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所属单位：理学院

发表刊物：JOURNAL OF INEQUALITIES AND APPLICATIONS

关键字：Frames G-frames G-R-duals G-orthonormal bases Dilations G-duals G-Riesz sequences

摘要：In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space. We demonstrate that the g-R-dual keeps some synchronous frame properties with the operator-valued sequence given. We also display some Schauder basis-like properties of the g-R-dual in the light of the properties of the given sequence. In particular, the g-R-dual can be characterized by the use of another sequence, related to the given sequence. Finally, a special sequence is constructed to build the relationship between an operator-valued sequence and a g-Riesz sequence.

ISSN号：1029-242X

是否译文：否

发表时间：2019-03-19

合写作者：李亮,李亮

通讯作者：李亮,李亮,李鹏同