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Keywords
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Frame, K-frame, Hilbert-Schmidt frame, Hilbert-Schmidt K-frame, Hilbert-
Schmidt K-atomic system
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Abstract
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In this paper, we introduce Hilbert-Schmidt K-frames and Hilbert-Schmidt
K-atomic systems, where K is a bounded operator on a Hilbert space and we study the
relationship between these two concepts. Also, Hilbert-Schmidt K-frames are characterized in terms of a range inclusion property.
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