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Zbl 1209.42028
Ding, Ming Ling; Zhu, Yu Can
g-Besselian frames in Hilbert spaces. (English)
[J] Acta Math. Sin., Engl. Ser. 26, No. 11, 2117-2130 (2010). ISSN 1439-8516; ISSN 1439-7617/e

Summary: We introduce the concept of a g-Besselian frame in a Hilbert space and discuss the relations between a g-Besselian frame and a Besselian frame. We also give some characterizations of g-Besselian frames. In the end of this paper, we discuss the stability of g-Besselian frames. Our results show that the relations and the characterizations between a g-Besselian frame and a Besselian frame are different from the corresponding results of g-frames and frames.

MSC 2000:: *42C99 Non-trigometric Fourier analysis
42C25 Uniqueness and localization for orthogonal series

Keywords: g-frame; Besselian frame; g-Besselian frame; stability

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