Takhteh, Farkhondeh; Khosravi, Amir R-duality in g-frames. (English) Zbl 1369.42022 Rocky Mt. J. Math. 47, No. 2, 649-665 (2017). Summary: Recently, the concept of g-Riesz dual sequences for g-Bessel sequences has been introduced. In this paper, we investigate under what conditions a g-Riesz sequence \(\Phi=\{\Phi_j\in L(H,H_j):j\in \mathcal I\}\) is the g-Riesz dual sequence of a given g-frame \(\Lambda=\{\Lambda_i\in L(H,H_i):i\in \mathcal I\}\). Cited in 4 Documents MSC: 42C15 General harmonic expansions, frames 41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type Keywords:g-orthonormal basis; g-Riesz basis; g-Riesz dual sequence PDFBibTeX XMLCite \textit{F. Takhteh} and \textit{A. Khosravi}, Rocky Mt. J. Math. 47, No. 2, 649--665 (2017; Zbl 1369.42022) Full Text: DOI Euclid