Results 1 to 10 of about 150,958 (135)

K-g-fusion frames in Hilbert spaces [PDF]

Journal of Inequalities and Applications, 2020
K-g-fusion frames are generalizations of fusion frames, K-fusion frames and g-fusion frames. In this paper, we present some new characterizations of K-g-fusion frames and tight K-g-fusion frames, and give several properties of K-g-fusion frames by means ...
Yongdong Huang, Yuanyuan Yang
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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES [PDF]

Проблемы анализа, 2020
G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
doaj   +6 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, Mehdi Rashidi-Kouchi, Akbar Nazari, Ali Oloomi   +3 more
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Controlled K−g−Fusion Frames in Hilbert C∗−Modules

International Journal of Analysis and Applications, 2022
Controlled frames have been the subject of interest because of its ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator.
Mohamed Rossafi, Fakhr-dine Nhari
doaj   +3 more sources

WEIGHTED RIESZ BASES IN G-FUSION FRAMES AND THEIR PERTURBATION

Проблемы анализа, 2020
In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames
Gh. Rahimlou, V. Sadri, R. Ahmadi
doaj   +4 more sources

WEAVING G-FUSION FRAMES IN HILBERT SPACES

Проблемы анализа
Fusion frames, one of the important frame extensions, introduced by Casazza and Kutyniok, Bemros et al. are able to transform the except of weaving from Gabor frames to frame the ory; thus weaving frames.
Gh. Rahimlou, V. Sadri, R. Ahmadi
doaj   +2 more sources

K-g-Fusion Frames on Cartesian Products of Two Hilbert C*-Modules

Mathematics
In this paper, we introduce and investigate the concept of K-g-fusion frames in the Cartesian product of two Hilbert C*-modules over the same unital C*-algebra. Our main result establishes that the Cartesian product of two K-g-fusion frames remains a K-g-
Sanae Touaiher, Maryam G. Alshehri, Mohamed Rossafi   +2 more
doaj   +3 more sources

Generalized atomic subspaces for operators in Hilbert spaces [PDF]

Mathematica Bohemica, 2022
We introduce the notion of a $g$-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$-fusion frames.
Prasenjit Ghosh, Tapas Kumar Samanta
doaj   +1 more source

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
doaj   +1 more source

Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
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