g-Besselian frames in Hilbert spaces |
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| Authors: | Ming Ling Ding Yu Can Zhu |
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| Institution: | 1. College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, 350002, P. R. China
2. Department of Mathematics, Fuzhou University, Fuzhou, 350108, P. R. China
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| Abstract: | In this paper, 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. |
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| Keywords: | g-frame Besselian frame g-Besselian frame stability |
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