عنوان
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Riesz Properties of Multiplication of a Pair of g-Sequences
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Frames, Riesz basis , Multiplier operators, g-frames, Fusion basis, Minimality
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چکیده
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In this article, the properties of completeness, being Riesz, being basis and minimality of a pair of g-sequences K ¼ fKi : H ! Higi2I and C ¼ fCi : H ! Higi2I are simultaneously studied as well as investigating the above-mentioned properties about the sequences of subspaces induced by them. We show that the above properties are an extension of the definitions known about a single g-sequence K. The effect of invertibility of the multiplier operator of sequences K; C on the above-mentioned properties will be investigated.
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پژوهشگران
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اصغر رحیمی (نفر دوم)، ابوالحسن فریدونی (نفر اول)
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