Results 11 to 20 of about 86,604 (155)
Some equalities and inequalities for fusion frames [PDF]
SpringerPlus, 2016 Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional frames. In this paper, we give some equalities and inequalities for fusion frames.
Guo, Qianping +2 more
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On the duality of fusion frames
Journal of Mathematical Analysis and Applications, 2007 A system \((f_i)_{i\in I}\) is a frame in a Hilbert space \(\mathcal H\) if there are positive constants \(A\) and \(B\) such that \(A\| f\| ^2 \leq \sum_{i\in I} |\langle f,f_i\rangle| ^2 \leq B\| f\| ^2\) for all \(f\in \mathcal H\). A system \(\mathcal V= ((V_i,V_i))_{i\in I}\) is a fusion frame or a frame of subspaces if \[ A\| f\| ^2 \leq \sum_{i ...
exaly +2 more sources
Woven g-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces.
Maryam Mohammadrezaee +3 more
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A Note on Some Results for $C$-controlled $K$-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this manuscript, we study the relation between K-fusion frame and its local components which leads to the definition of a $C$-controlled $K$-fusion frames, also we extend a theory based on K-fusion frames on Hilbert spaces, which prepares exactly the ...
Habib Shakoory +3 more
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Continuous $k$-Fusion Frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for
Vahid Sadri +3 more
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Fusion Frame Homotopy and Tightening Fusion Frames by Gradient Descent
Journal of Fourier Analysis and Applications, 2023 Finite frames, or spanning sets for finite-dimensional Hilbert spaces, are a ubiquitous tool in signal processing. There has been much recent work on understanding the global structure of collections of finite frames with prescribed properties, such as spaces of unit norm tight frames.
Tom Needham, Clayton Shonkwiler
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Controlled K-Fusion Frame for Hilbert Spaces
Moroccan Journal of Pure and Applied Analysis, 2021 K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia +2 more
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Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules
Journal of Mathematics, 2023 The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames
Xiujiao Chi, Guoqing Hong, Pengtong Li
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Relay fusion frames in Banach spaces
Open Mathematics, 2023 The relay fusion frames have been recently introduced in Hilbert spaces to model sensor relay networks and distributed sensor relay systems, which are deeply connected with compressed sensing.
Hong Guoqing, Li Pengtong
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Non-orthogonal Fusion Frames and the Sparsity of Fusion Frame Operators [PDF]
Journal of Fourier Analysis and Applications, 2011 Fusion frames have become a major tool in the implementation of distributed systems. The effectiveness of fusion frame applications in distributed systems is reflected in the efficiency of the end fusion process. This in turn is reflected in the efficiency of the inversion of the fusion frame operator $S_{\cW}$, which in turn is heavily dependent on ...
Cahill, Jameson +2 more
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