Results 221 to 230 of about 660,488 (250)

Redundancy of g-frames

Complex Analysis and Operator Theory, 2020
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Block sequences and g-frames

International Journal of Wavelets, Multiresolution and Information Processing, 2015
Casazza and Kutyniok [Frames of subspaces, in Wavelets, Frames and Operator Theory, Contemporary Mathematics, Vol. 345 (American Mathematical Society, Providence, RI, 2004), pp. 87–113] defined fusion frames in Hilbert spaces to split a large frame system into a set of (overlapping) much smaller systems and being able to process the data effectively ...
Renu Chugh, S. K. Sharma, Shashank Goel
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G- FRAMES AND THEIR STABILITY IN HILBERT SPACE

South East Asian J. of Mathematics and Mathematical Sciences, 2022
W. Sun in his paper [W. Sun, G-frames and g-Riesz bases. J. Math. Anal. Appl 322 (2006),437-452] has introduced g-frames which are generalized frames and cover many recent generalizations of frames such as bounded quasiprojections, fusion frames and pseudo-frames.
Rajeswari, K. N., George, Neelam
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PERMUTATIONS AND WOVEN g-FRAMES

Rocky Mountain Journal of Mathematics
This paper deals with some results concerning the reordered families of a \(g\)-frame \(\{ \Lambda_i \}_{i \in \mathcal{I}}\) which are of the form \(\{ \Lambda_{\pi(i)} \}_{i \in \mathcal{I}}\) where \(\pi\) is a permutation function on \(\mathcal{I}\), and concentrates on the weavings \(\{ \Lambda_i \}_{i \in \sigma} \cup \{ \Lambda_{\pi(i)} \}_{i ...
Askarizadeh, Abbas, Ahmadi, Ahmad
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On the Sum of g-Frames and Their Stability in Hilbert Spaces

Mediterranean Journal of Mathematics, 2023
The frame theory has roots in harmonic and functional analysis, operator theory, linear algebra, and matrix theory. The frame condition was first described by \textit{R. J. Duffin} and \textit{A. C. Schaeffer} [Trans. Am. Math. Soc. 72, 341--366 (1952; Zbl 0049.32401)] in a 1952 article on nonharmonic Fourier series as a way of computing the ...
Baradaran, Javad, Zerehpoush, Morteza
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New properties of phase-retrievable g-frames and exact phase-retrievable g-frames

Linear and Multilinear Algebra, 2020
The primary purpose of this paper is to discuss phase-retrievable g-frames and exact phase-retrievable g-frames. Firstly, some characterizations of phase-retrievable g-frames are discussed.
Miao He, Jinsong Leng, Jiali Yu
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Characterizations of Disjointness of $$g$$ g -Frames and Constructions of $$g$$ g -Frames in Hilbert Spaces

Complex Analysis and Operator Theory, 2014
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CONSTRUCTION OF DUAL g-FRAMES FOR CLOSED SUBSPACES

International Journal of Wavelets, Multiresolution and Information Processing, 2011
In this paper, we introduce dual g-frames for a closed subspace in a separable Hilbert space and also give a characterization. Generally dual g-frames for a closed subspace are non-commutative. Therefore, we construct dual g-frames for closed subspaces from two aspects and give the corresponding formulas, respectively. Finally, we give a necessary and
Bai-Yun Yu, Zhi-Biao Shu
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Some properties on G-frames

2010 International Conference on Wavelet Analysis and Pattern Recognition, 2010
Frames play an important role in wavelet analysis. G-fra mes are generalized frames which include ordinary frames, a nd many other recent generalization of frames. In this paper, we give several theorems to construct a large number of new G-frames from existing G-frames.
Gang Wang, Bao-Qin Wang, Li-Xia Yuan, Ya-Ling Wang   +3 more
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Some properties of g-frames in Banach spaces

International Journal of Wavelets, Multiresolution and Information Processing, 2018
In this paper, we introduce and study woven approximate Schauder g-frames. We show that for any two approximate Schauder g-frames, each weaving is an approximate Schauder g-frame if and only if there is a uniform constant [Formula: see text] such that every weaving is a C-approximate Schauder g-frame, and we obtain some perturbation results for ...
Amir Khosravi, Jamaleh Sohrabi Banyarani
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