Decompositions of g-frames and duals and pseudoduals of g-frames in hilbert spaces

Firstly,we study the representation of g-frames in terms of linear combinations of simpler ones such as g-orthonormal bases,g-riesz bases,and normalized tight g-frames. then,we study the dual and pseudodual of g-frames,which are critical components in reconstructions. in particular,we characterize the dual g-frames in a constructive way; that is,the formulae for dual g-frames are given. we also give some g-frame like representations for pseudodual g-frame pairs. the operator parameterizations of g-frames and decompositions of bounded operators are the key tools to prove our main results. © 2015 xunxiang guo.