Some properties of g-p-frames in complex Banach spaces

Xiao Tan, Yongdong Huang
2017 Journal of Nonlinear Science and its Applications  
In this paper, we introduce the concept of dual frame of g-p-frame, and give the sufficient condition for a g-p-frame to have dual frames. Using operator theory and methods of functional analysis, we get some new properties of g-p-frame. In addition, we also characterize g-p-frame and g-q-Riesz bases by using analysis operator of g-p-Bessel sequence.
doi:10.22436/jnsa.010.07.45 fatcat:7od4w4dqf5ekpjb34a2btccmwe