Tight K‐g‐Frame and Its Novel Characterizations via Atomic Systems

Yongdong Huang and Dingli Hua

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: K‐g‐frame is a generalization of g‐frame. We generalize the tight g‐frame to K‐g‐frame via atomic systems. In this paper, the definition of tight K‐g‐frame is put forward; equivalent characterizations and necessary conditions of tight K‐g‐frame are given. In particular, the necessary and sufficient condition for tight K‐g‐frame being tight g‐frame is obtained. Finally, by means of methods and techniques of frame theory, several properties of tight K‐g‐frame are given.

Date: 2016
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https://doi.org/10.1155/2016/3783456

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:3783456

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