Abstract
We establish some new inequalities for K-g-frames in Hilbert \(C^{*}\)-modules using the Moore–Penrose inverse of the adjointable operator K and a parameter \(\lambda \). It turns out that the results which we obtained can lead to some known results if we choose particular values for K and \(\lambda \). We also give a double inequality for K-g-frames in Hilbert \(C^{*}\)-modules with the help of two adjointable operators induced by dual K-g-frame pair.
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Communicated by Ali Ghaffari.
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The research is supported by the National Natural Science Foundation of China (Nos. 11761057 and 11561057), and the Science Foundation of Jiangxi Education Department (Nos. GJJ202302 and GJJ190886)
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Xiang, ZQ. New Inequalities of K-g-Frames in Submodules. Bull. Iran. Math. Soc. 48, 627–641 (2022). https://doi.org/10.1007/s41980-021-00535-5
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DOI: https://doi.org/10.1007/s41980-021-00535-5