Some New Inequalities for Dual Continuous g-Frames

Yanling Fu and Wei Zhang
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Yanling Fu: Department of Information Engineering, Henan Finance University, Zhengzhou 451464, China
Wei Zhang: School of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou 450046, China

Mathematics, 2019, vol. 7, issue 8, 1-15

Abstract: In the present paper, we establish new inequalities for dual continuous generalized frames by adopting operator methods. The inequalities are parameterized by the parameter λ ∈ R . These results generalize those obtained by Balan, Casazza and G?vru?a and cover recently obtained results by Zhang and Li in [Zhang, W.; Li, Y.Z. New inequalities and erasures for continuous g-frames. Math. Rep. 2018, 20, 263–278]. Moreover, we also give an upper bound of inequality for alternate continuous generalized frames in Hilbert spaces. It differs from previous results.

Keywords: continuous g-frames; dual continuous g-frames; inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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