Banach frames emerged in the theory of frames related to Gabor and Wavelet analysis. Before the concept of Banach frames was formalized, in 1991, Gröchenig introduced atomic decompositions as an extension of the notion of frames from Hilbert space theory to a Banach space setting, Feichtinger and Gröchenig then developed a general theory for a large class of function spaces and group representations. In 1999, Casazza, Han and Larson introduced the concept of Schauder frames for Banach spaces, which is a natural generalization of frames for Hilbert spaces and Schauder bases for Banach spaces. In some subsequent work, Casazza et al. in 2008 tackled the problem of coefficient quantization with respect to frames; Carando, Lassalle, Liu and related duality and reflexivity with atomic decompositions and framings. In Junge, Nielsen, Ruan and Xu introduced the notion of cb-basis for operator spaces.