Characterizing the R-duality of g-frames

被引：0

作者：

Liang Li

Pengtong Li

机构：

[1] Nanjing University of Aeronautics and Astronautics,Department of Mathematics

来源：

Journal of Inequalities and Applications | / 2019卷

关键词：

Frames; G-frames; G-R-duals; G-orthonormal bases; Dilations; G-duals; G-Riesz sequences; 46L10; 42C40; 42C15;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

共 21 条

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