Abstract
In this paper we mainly discuss the exact K-g-frames in the Hilbert spaces. We use the induced sequence \(\{u_{jk}\}\) of a g-Bessel sequence \(\{\Lambda _j\}_{j\in J}\) and an invertible operator to characterize whether \(\{\Lambda _j\}_{j\in J}\) is an exact K-g-frame or not, we also use the bounded linear operator K and \(l^2(\{{{\mathcal V}_j}\}_{j\in J})\)-linear independent to characterize the properties of the K-dual sequence of \(\{\Lambda _j\}_{j\in J}\).
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This work is partly supported by the TianYuan Special Funds of the National Natural Science Foundation of China (Grant No. 11626201), the Natural Science Foundation of Fujian Province, China (Grant No. 2016J01014), and the Key funded research projects of higher institutions of Henan province (Grant No. 17A110015).
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Xiao, X., Zhu, Y. Exact K-g-Frames in Hilbert Spaces. Results Math 72, 1329–1339 (2017). https://doi.org/10.1007/s00025-017-0657-9
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DOI: https://doi.org/10.1007/s00025-017-0657-9