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- W4288349220 abstract "In this paper, motivating the range of operators, we propose an appropriate representation space to introduce synthesis and analysis operators of controlled g-frames and discuss the properties of these operators. Especially, we show that the operator obtained by the composition of the synthesis and analysis operators of two controlled g-Bessel sequence is a trace class operator. Also, we define the canonical controlled g-dual and show that this dual gives rise to expand coefficients with the minimal norm. Finally, we extend some known equality and inequalities for controlled g-frames." @default.
- W4288349220 created "2022-07-29" @default.
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- W4288349220 date "2019-05-22" @default.
- W4288349220 modified "2023-09-23" @default.
- W4288349220 title "An appropriate representation space for controlled G-frames" @default.
- W4288349220 doi "https://doi.org/10.48550/arxiv.1905.08962" @default.
- W4288349220 hasPublicationYear "2019" @default.
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