Abstract
This paper is devoted to the study of the dual [Formula: see text]-g-Bessel sequences of [Formula: see text]-g-frames. We firstly make use of the g-preframe operators of a g-Bessel sequence to investigate the constructions of [Formula: see text]-g-frames. And then, taking the g-preframe operators into account, we present several necessary and sufficient conditions under which a g-Bessel sequence is the dual [Formula: see text]-g-Bessel sequence of a given [Formula: see text]-g-frame. We also give a simple example to show that the duality of [Formula: see text]-g-frames is not transitive.
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