| عنوان مجله
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Iranian Journal of Science and Technology Transaction A-Science
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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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