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20182021
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math.FA2021

Robustness of controlled fusion frames under erasures of subspaces and the approximation operator

Reza Ahmadi, Gholamreza Rahimlou, Vahid Sadri

Controlled frames which presented to improve the numerical output of iterative algorithms for inverting the frame operator, have been introduced by Balazs and et al. Also, these fr…

math.FA2021

Equal-norm parseval K-frames in Hilbert Spaces

Vahid Sadri, Gholamreza Rahimlou

In this paper, we focus on frames of operators or K-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play important roles for robust data transmission, we…

math.FA2019

On continuous weaving fusion frames in Hilbert spaces

Vahid Sadri, Reza Ahmadi, Gholamreza Rahimlou

In this note, we first introduce the notation of weaving cfusion frames in separable Hilbert spaces. After reviewing the conditions for maintaining the weaving c-fusion frames unde…

math.FA2018

Generalized fusion frames in Hilbert spaces

Vahid Sadri, Gholamreza Rahimlou, Reza Ahmadi +1

After introducing g-frames and fusion frames by Sun and Casazza, combining these frames together is an interesting topic for research. In this paper, we introduce the generalized f…

math.FA2018

Some identities and inequalities for g-fusion frames

Ramazan Zarghami, Vahid Sadri, Reza Ahmadi

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 g-fr…

math.FA2018

Weighted Riesz bases in g-fusion frames and their perturbation

Gholamreza Rahimlou, Vahid Sadri, Reza Ahmadi

In this paper, we introduce orthonoramal and Riesz bases for g-fusion frames and will show that the weights have basic roles. Next, we prove an effective theorem between frames and…