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Title
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OPERATORS ON CONTROLLED K-G-FRAMES IN HILBERT SPACES
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Type
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JournalPaper
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Keywords
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Controlled g-frame, controlled K-g-frame, controlled frame operator
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Abstract
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Abstract. Controlled frames for spherical wavelets were introduced by Bogdanova et al. to get a numerically more efficient approximation algorithm. In this paper we propose some useful results about controlled K-g-frames, which are generalizations of K-g-frames. We show that if fΛigi2I is a CC0-controlled K-g-frame and U; K are bounded linear operators in a separable Hilbert space, then, under certain conditions, the sequences of operatorsfΛiUgi2I, fΛiU ∗gi2I are also CC0-controlled K-gframes. We also present the concept of CC0-controlled K-g-dual frame and extend some known equalities and inequalities. Finally we study the stability problem for perturbation of CC0-controlled K-g-frames.
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Researchers
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Asghar Rahimi (Third Researcher), MOJGAN JAVAHERNIA (Fourth Researcher), (Second Researcher), MARYAM FORUGHI (First Researcher)
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