Results 271 to 280 of about 198,108 (300)

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, Mohammadpour, Mozhgan   +1 more
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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, Banyarani, Jamaleh Sohrabi   +1 more
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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
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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.
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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.
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Randomized Subspace Actions and Fusion Frames

Constructive Approximation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xuemei, Powell, Alexander M.
openaire   +1 more source

On the stability of fusion frames (frames of subspaces)

Acta Mathematica Scientia, 2011
Abstract A frame is an orthonormal basis-like collection of vectors in a Hilbert space, but need not be a basis or orthonormal. A fusion frame (frame of subspaces) is a frame-like collection of subspaces in a Hilbert space, thereby constructing a frame for the whole space by joining sequences of frames for subspaces.
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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.
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Fusion algorithm not affected by the picture frame

Systems and Computers in Japan, 1985
AbstractThis paper discusses the properties and the algorithms of the fusion operations, which are one of the fundamental techniques of binary image processing. First, a theoretical discussion is made for infinitely spread images, deriving several properties for the fusion operations.
Satoshi Suzuki, Keiichi Abe
openaire   +1 more source