Article overview
Abstract
W. Sun in his paper [W. Sun, G-frames and g-Riesz bases. J. Math. Anal. Appl 322 (2006),437-452] has introduced $g$-frames which are generalized frames and cover many recent generalizations of frames such as bounded quasi-projections, fusion frames and pseudo-frames. We give a necessary and sufficient condition for a $g$-frame to be a dual to a given $g$-frame and obtain some sufficient conditions under which sequences are stable under small perturbations.
Keywords and Phrases
G-framesdual $g$-framesorthogonal $g$-frames$g$-R-dual sequence.
AMS Subject Classification
42C15.
Reference information
How to Cite
K. N. Rajeswari, Neelam George (2022). G- FRAMES AND THEIR STABILITY IN HILBERT SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 125-134.