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Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenchang Sun
exaly +8 more sources
$G$-Frames Generated by Iterated Operators [PDF]
Sahand Communications in Mathematical Analysis, 2023 Assuming that $\Lambda$ is a bounded operator on a Hilbert space $H$, this study investigate the structure of the $g$-frames generated by iterations of $\Lambda$.
Morteza Rahmani
doaj +3 more sources
Controlled g-frames and dual g-frames in Hilbert spaces
Journal of Inequalities and Applications, 2023 As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled g-frames and dual g-frames in Hilbert spaces.
Hui-Min Liu, Yan-Ling Fu, Yu Tian
doaj +2 more sources
Duality of Continuous K-g-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2023 K-g-frames, as an extension of g-frames and K-frames are one of the active fields in frame theory. In this paper, we consider continuous K-g-frames which are a generalization of discrete K-g-frames.
Atefe Razghandi, Ali Akbar Arefijamaal
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Controlled Continuous $G$-Frames and Their Multipliers in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we introduce $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel families and their multipliers in Hilbert spaces and investigate some of their properties.
Yahya Alizadeh +1 more
doaj +11 more sources
Characterization and stability of approximately dual g-frames in Hilbert spaces [PDF]
Journal of Inequalities and Applications, 2018 This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames.
Yan-Ling Fu, Wei Zhang
doaj +2 more sources
Decompositions of g-Frames and Duals and Pseudoduals of g-Frames in Hilbert Spaces
Journal of Function Spaces, 2015 Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones such as g-orthonormal bases, g-Riesz bases, and normalized tight g-frames.
Xunxiang Guo
doaj +3 more sources
Invertibility of Multipliers for Continuous G-frames [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we study the concept of multipliers for the continuous $g$-Bessel families in Hilbert spaces. We present necessary conditions for invertibility of multipliers for the continuous $g$-Bessel families and sufficient conditions for ...
Mohammad Reza Abdollahpour +1 more
doaj +3 more sources
Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces
Journal of Function Spaces and Applications, 2013 Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators.
Xunxiang Guo
doaj +7 more sources
On Sum and Stability of Continuous $G$-Frames [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we give some conditions under which the finite sum of continuous $g$-frames is again a continuous $g$-frame. We give necessary and sufficient conditions for the continuous $g$-frames $Lambda=left{Lambda_w in Bleft(H,K_wright): win ...
Azam Yousefzadeheyni +1 more
doaj +5 more sources