TY - JOUR
ID - 35726
TI - Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^\ast-$modules
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Mirzaee Azandaryani, Morteza
AD - Department of Mathematics, University of Qom, Qom, Iran.
Y1 - 2019
PY - 2019
VL - 15
IS - 1
SP - 135
EP - 146
KW - Frame
KW - G-Frame
KW - Fusion frame
KW - Biorthogonal sequence
KW - Approximate duality
DO - 10.22130/scma.2018.81624.396
N2 - In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^\ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate duals of modular Riesz bases and fusion frames are obtained. Moreover, we generalize the concept of $Q-$approximate duality of $g$-frames and fusion frames to Hilbert $C^\ast-$modules, where $Q$ is an adjointable operator, and obtain some properties of this kind of approximate duals.
UR - https://scma.maragheh.ac.ir/article_35726.html
L1 - https://scma.maragheh.ac.ir/article_35726_cc21d1f5aa898076fe219206175ae0ca.pdf
ER -