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The Structure of Minimizers of the Frame Potential on Fusion Frames [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2009
In this paper we study the fusion frame potential, that is a generalization of the Benedetto-Fickus (vectorial) frame potential to the finite-dimensional fusion frame setting. The structure of local and global minimizers of this potential is studied, when we restrict the frame potential to suitable sets of fusion frames. These minimizers are related to
Pedro Massey   +2 more
exaly   +6 more sources
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Framing fusion and fission

Nature Materials, 2022
Engineering inter-triplet exchange coupling allows spin mixing between singlet and quintet manifolds in triplet–triplet pair states in metal–organic frameworks, demonstrating increased room-temperature triplet-fusion rates under relatively small applied magnetic fields.
Naitik A. Panjwani, Jan Behrends
openaire   +2 more sources

Relay fusion frames and bridging results for fusion frames

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong, Guoqing, Li, Pengtong
openaire   +2 more sources

The correspondence of fusion frames and frames in Hilbert \(C^\ast\)-modules and finite Gabor fusion frames

2021
Summary: In this paper, we show that fusion frames in the finite dimensional Hilbert space \(H\) correspond to frames in the Hilbert \(C^\ast\)-module \(\mathcal{B}\left(\mathbb{C}^n\right)\). Moreover, we show that every tight fusion frame and Riesz fusion basis in \(\mathbb{C}^n\) correspond to a tight frame and Riesz basis in the Hilbert \(C^\ast ...
Kamyabi-Gol, Rajab Ali   +1 more
openaire   +2 more sources

Minimizing Fusion Frame Potential

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Casazza   +2 more
exaly   +2 more sources

Semi-frames and Fusion Semi-frames

2018
This paper is a short survey of the theory of semi-frames and fusion semi-frames in Hilbert and Banach spaces.
Nabin Kumar Sahu, Ram N. Mohapatra
openaire   +2 more sources

Weaving g-Frames and Weaving Fusion Frames

Bulletin of the Malaysian Mathematical Sciences Society, 2018
The authors study weaving \(g\)-frames and weaving fusion frames. The authors also show that they are stable under invertible operators and small perturbations. In addition woven \(g\)-frames and weakly woven \(g\)-frames coincide.
Khosravi, Amir   +1 more
openaire   +1 more source

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