Hilbert– Schmidt Frames: Duality, Weaving and Stability

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Choubin Mehdi; Ghaemi Mohammad Bagher; Kim Gwang Hui

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2020 | Volume:11 | Issue:1 Page(s): 159-173

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Title

Hilbert– Schmidt Frames: Duality, Weaving and Stability

Author(s)

Choubin Mehdi | Ghaemi Mohammad Bagher | Kim Gwang Hui | Issue Writer Certificate

Keywords

Hilbert-Schmidt frames

Weaving frames

Dual frames

Perturbation

Abstract

In this paper, we give some sufficient conditions under which Perturbations preserve Hilbert-Schmidt frames. Also show that the canonical dual of a perturbed Hilbert-Schmidt frame is a Perturbation of the canonical dual (alternative dual respectively) of the original Hilbert-Schmidt frame and dis-cuss best approximation in the set of all dual Hilbert-Schmidt frames. Next, we apply the woven principle to Hilbert-Schmidt frames and study the stability of weaving Hilbert-Schmidt frames under Perturbations. Finally, we present sufficient conditions under which Perturbations preserve weaving Hilbert-Schmidt frames and weaving dual Hilbert-Schmidt frames.

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APA: Copy

Choubin, Mehdi, Ghaemi, Mohammad Bagher, & Kim, Gwang Hui. (2020). Hilbert– Schmidt Frames: Duality, Weaving and Stability. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 11(1), 159-173. SID. https://sid.ir/paper/340827/en

Vancouver: Copy

Choubin Mehdi, Ghaemi Mohammad Bagher, Kim Gwang Hui. Hilbert– Schmidt Frames: Duality, Weaving and Stability. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2020;11(1):159-173. Available from: https://sid.ir/paper/340827/en

IEEE: Copy

Mehdi Choubin, Mohammad Bagher Ghaemi, and Gwang Hui Kim, “Hilbert– Schmidt Frames: Duality, Weaving and Stability,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 11, no. 1, pp. 159–173, 2020, [Online]. Available: https://sid.ir/paper/340827/en

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