عنوان مجله
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Bulletin of the Iranian Mathematical Society
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چکیده
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In this paper, motivating the range of operators, we propose an appropriate representation space to introduce synthesis and analysis operators of controlled g-frames
and discuss the properties of these operators. Especially, we show that the operator
obtained by the composition of the synthesis and analysis operators of two controlled
g-Bessel sequence is a trace class operator. Also, we define the canonical controlled
g-dual and show that this dual gives rise to expand coefficients with the minimal norm.
Finally, we extend some known equalities and inequalities for controlled g-frames.
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