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A note on perturbations of fusion frames [PDF]

Journal of Mathematical Analysis and Applications, 2018
In this work, we consider some relationships between a closed range operator $T$ and a fusion frame $\mathcal{W}=(W_i,w_i)_{i\in I}$ for a Hilbert space $\mathcal{H}$ that provides that the sequence $(\overline{T(W_i)},v_i)_{i\in I}$ is a fusion frame sequence for $\mathcal{H}$, if we consider a suitable family of weights $\{v_i\}_{i\in I}$.
Calderón, Pablo Luis, Ruiz, Mariano Andrés   +1 more
exaly   +6 more sources

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Minimizing Fusion Frame Potential

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Casazza, Peter G., Fickus, Matthew
openaire   +1 more source

FUSION FRAMES AND g-FRAMES IN HILBERT C*-MODULES

International Journal of Wavelets, Multiresolution and Information Processing, 2008
The notion of frame has some generalizations such as frames of subspaces, fusion frames and g-frames. In this paper, we introduce fusion frames and g-frames in Hilbert C*-modules and we show that they share many useful properties with their corresponding notions in Hilbert space.
Amir Khosravi, Behrooz Khosravi
openaire   +1 more source

Some Results on Fusion Frames and g-Frames

Results in Mathematics, 2018
The author studies some properties of fusion frames and \(g\)-frames in relation to frames. She introduces the notion of upper and lower redundancies of \(g\)-frames and shows that some of the desirable results known about the redundancies on frames and fusion frames carry over \(g\)-frames.
openaire   +1 more source

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

Frames for fusions of modal logics

Journal of Applied Non-Classical Logics, 2018
Let us consider multimodal logics and . We assume that is characterised by a class of connected frames, and there exists an -frame with a so-called -starting point.
openaire   +1 more source

Fusion frames and operators

2021
Frames are families of vectors in a (separable) Hilbert space H, which generalize the notion of an orthonormal basis and provide the possibility to represent and re- construct vectors in H in a non-unique, redundant and stable way. These properties of frames are desired for a vast number of applications, e.g.
openaire   +1 more source

Scalable Fusion Frames

Iranian Journal of Science
Asghar Rahimi, Rahimi Asghar
exaly   +2 more sources

Randomized Subspace Actions and Fusion Frames

Constructive Approximation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xuemei, Powell, Alexander M.
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Frame Fusion for Video Copy Detection

IEEE Transactions on Circuits and Systems for Video Technology, 2011
Content-based video copy detection is very important for copyright protection in view of the growing popularity of video sharing websites, which deals with not only whether a copy occurs in a query video stream but also where the copy is located and where the copy is originated from.
Shikui Wei, Yao Zhao 0001, Ce Zhu, Changsheng Xu, Zhenfeng Zhu   +4 more
openaire   +1 more source