Some equalities and inequalities of g-continuous frames

In this paper, we derive some equalities and inequalities about g-continuous frames, which are an extension to g-frames and continuous frames. We also discuss the stability of the perturbation of a g-continuous frame.

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Veröffentlicht in:Science China. Mathematics 2010-10, Vol.53 (10), p.2621-2632
Hauptverfasser: Xiao, XiangChun, Zeng, XiaoMing
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we derive some equalities and inequalities about g-continuous frames, which are an extension to g-frames and continuous frames. We also discuss the stability of the perturbation of a g-continuous frame.
ISSN:1674-7283
1869-1862
1862-2763
DOI:10.1007/s11425-010-4054-z