Title of article
An Appropriate Representation Space for Controlled g-Frames
Author/Authors
Forughi ، Maryam Department of Mathematics - Islamic Azad University, Shabestar Branch , Osgooei ، Elnaz Faculty of Science - Urmia University of Technology , Rahimi ، Asghari Department of Mathematics - University of Maragheh , Javahernia ، Mojgan Department of Mathematics - Islamic Azad University, Shabestar Branch
From page
855
To page
868
Abstract
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.
Keywords
Controlled g , frame · Controlled g , dual frame · Trace class operator
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744033
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