NEAR CONTINUOUS g-FRAMES FOR HILBERT C*-MODULES

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Khatib Y.; HASSANI MAHMOUD; Amyari Maryam

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Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2019 | Volume:13 | Issue:4 Page(s): 131-142

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Title

NEAR CONTINUOUS g-FRAMES FOR HILBERT C*-MODULES

Author(s)

Khatib Y. | HASSANI MAHMOUD | Amyari Maryam | Issue Writer Certificate

Keywords

closeness bound

near continuous g-frames

Hilbert C*-modules

nearness

Abstract

Let $\mathcal{U}$ be a Hilbert $\mathcal{A}$-module and $L(\mathcal{U})$ be the set of all adjointable $\mathcal{A}$-linear maps on $\mathcal{U}$. Let $K$ and $L$ be two continuous $g$-frames for $\mathcal{U}$. Then $K$ is similar with $L$ if there exists an invertible operator $J\in L(\mathcal{U})$ such that $JK =L$. In this paper, we show that if $K$ and $L$ are near, then they are similar via some invertible operator $J$. Recall that two continuous $g$-frames $K$ and $L$ are near if $K$ is close to $L$ and $L$ is close to $K$. We also describe closeness bound between two continuous $g$-frames for $\mathcal{U}$.

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APA: Copy

Khatib, Y., HASSANI, MAHMOUD, & Amyari, Maryam. (2019). NEAR CONTINUOUS g-FRAMES FOR HILBERT C*-MODULES. JOURNAL OF MATHEMATICAL EXTENSION, 13(4), 131-142. SID. https://sid.ir/paper/748533/en

Vancouver: Copy

Khatib Y., HASSANI MAHMOUD, Amyari Maryam. NEAR CONTINUOUS g-FRAMES FOR HILBERT C*-MODULES. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2019;13(4):131-142. Available from: https://sid.ir/paper/748533/en

IEEE: Copy

Y. Khatib, MAHMOUD HASSANI, and Maryam Amyari, “NEAR CONTINUOUS g-FRAMES FOR HILBERT C*-MODULES,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 13, no. 4, pp. 131–142, 2019, [Online]. Available: https://sid.ir/paper/748533/en

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