• A NOTE ON Xd -FRAMES IN BANACH SPACES

Abstract

Frames with respect to some sequence space, namely-frames were introduced and studied by Casazza et al [1]. We further study-frames and proved if a Banach space has a -frames then it also has the Parseval and an exact Parseval-frames. A necessary and sufficient condition and also a sufficient condition for the stability of -frame have been given. Also, -Bessel sequences, Xfor a sequence to be -frame has been obtained.