Duality principles for g-Bessel sequences

Duality principles in Gabor theory play a fundamental role for analyzing Gabor systems. In this paper, we obtain some results of duality principles for g-frames. For every g-Bessel sequence, we define a corresponding sequence dependent on two g-orthonormal bases. Then we characterize some properties of the first sequence in terms of the associated one. Also, we present g-Riesz dual sequences for dual g-frames of {Λi}i∊N with respect to two g-orthonormal bases.