عنوان
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G-frames and their generalized multipliers in Hilbert spaces
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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g-Bessel sequences, g-frames, g-Riesz bases, generalized multipliers
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چکیده
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In this article, we introduce the concept of generalized multipliers for g-frames. In fact, we show that every generalized multiplier for g-Bessel sequences is a generalized multiplier for the induced sequences, in a special sense. We provide some sucient and/or necessary conditions for the invertibility of generalized multipliers. In particular, we characterize g-Riesz bases by invertible multipliers. We look at which perturbations of g-Bessel sequences preserve the invertibility of generalized multipliers. Finally, we investigate how to nd a matrix representation of operators on a Hilbert space using g-frames, and then we characterize g-Riesz bases and g-orthonormal bases by applying such matrices.
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پژوهشگران
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حسام حسین نژاد (نفر اول)، غلامرضا عباسپور تاباکان (نفر دوم)، اصغر رحیمی (نفر سوم)
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