An Appropriate Representation Space for Controlled g-Frames.

Autor:	Forughi, Maryam, Osgooei, Elnaz, Rahimi, Asghar, Javahernia, Mojgan
Předmět:	COMPOSITION operators
Zdroj:	Bulletin of the Iranian Mathematical Society; Jun2021, Vol. 47 Issue 3, p855-868, 14p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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