On a new G-frame and duality
Authors
Abstract:
We introduce a new g-frame (singleton g-frame), g-orthonormal basis and g-Riesz basis and study corresponding notions in some other generalizations of frames.Also, we investigate duality for some kinds of g-frames. Finally, we illustrate an example which provides a suitable translation from discrete frames to Sun's g-frames.
similar resources
On duality of modular G-Riesz bases and G-Riesz bases in Hilbert C*-modules
In this paper, we investigate duality of modular g-Riesz bases and g-Riesz bases in Hilbert C*-modules. First we give some characterization of g-Riesz bases in Hilbert C*-modules, by using properties of operator theory. Next, we characterize the duals of a given g-Riesz basis in Hilbert C*-module. In addition, we obtain sufficient and necessary condition for a dual of a g-Riesz basis to be agai...
full texttask-based language teaching in iran: a mixed study through constructing and validating a new questionnaire based on theoretical, sociocultural, and educational frameworks
جنبه های گوناگونی از زندگی در ایران را از جمله سبک زندگی، علم و امکانات فنی و تکنولوژیکی می توان کم یا بیش وارداتی در نظر گرفت. زبان انگلیسی و روش تدریس آن نیز از این قاعده مثتسنی نیست. با این حال گاهی سوال پیش می آید که آیا یک روش خاص با زیر ساخت های نظری، فرهنگی اجتماعی و آموزشی جامعه ایرانی سازگاری دارد یا خیر. این تحقیق بر اساس روش های ترکیبی انجام شده است.پرسش نامه ای نیز برای زبان آموزان ...
Stability of $g$-Frame Expansions
In this paper we investigate the stability of one-sided perturbation to g-frame expansions. We show that if $Lambda$ is a g-frame of a Hilbert space $mathcal{H}$, $Lambda_{i}^{a}=Lambda_{i}+Theta_{i}$ where $Theta_{i} in mathcal{L}(mathcal{H},mathcal{H}_{i})$, and $widetilde{f}=sum_{i in J}Lambda_{i}^{star}widetilde{Lambda}_{i}^{a}f$, $widehat{f}=sum_{i in J}(Lambda_{i}^{a})^{star}widetilde{Lam...
full textDuality of $g$-Bessel sequences and some results about RIP $g$-frames
In this paper, first we develop the duality concept for $g$-Bessel sequences and Bessel fusion sequences in Hilbert spaces. We obtain some results about dual, pseudo-dual and approximate dual of frames and fusion frames. We also expand every $g$-Bessel sequence to a frame by summing some elements. We define the restricted isometry property for $g$-frames and generalize some resu...
full texton duality of modular g-riesz bases and g-riesz bases in hilbert c*-modules
in this paper, we investigate duality of modular g-riesz bases and g-riesz basesin hilbert c*-modules. first we give some characterization of g-riesz bases in hilbert c*-modules, by using properties of operator theory. next, we characterize the duals of a giveng-riesz basis in hilbert c*-module. in addition, we obtain sucient and necessary conditionfor a dual of a g-riesz basis to be again a g...
full textTranslation surfaces according to a new frame
In this paper we studied the translation surfaces according to a new frame called q-frame in three dimensional Euclidean space. The curvatures of the translation surface are obtained in terms of q-frame curvatures. Finally some special cases are investigated for these surfaces.
full textMy Resources
Journal title
volume 5 issue 1
pages 1- 9
publication date 2017-06-24
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023