This is an announcement for the paper "Coefficient quantization in Banach spaces" by S. J. Dilworth, E. Odell, Th. Schlumprecht, and Andras Zsak. Abstract: Let (e_i) be a dictionary for a separable Banach space X. We consider the problem of approximation by linear combinations of dictionary elements with quantized coefficients drawn usually from a `finite alphabet'. We investigate several approximation properties of this type and connect them to the Banach space geometry of X. The existence of a total minimal system with one of these properties, namely the coefficient quantization property, is shown to be equivalent to X containing c_0. Archive classification: Functional Analysis Mathematics Subject Classification: 46B20; 41A65 Remarks: LaTeX, 28 pages The source file(s), dosz042106-arXiv.tex: 95960 bytes, is(are) stored in gzipped form as 0606317.gz with size 27kb. The corresponding postcript file has gzipped size 118kb. Submitted from: combs@mail.ma.utexas.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0606317 or http://arXiv.org/abs/math.FA/0606317 or by email in unzipped form by transmitting an empty message with subject line uget 0606317 or in gzipped form by using subject line get 0606317 to: math@arXiv.org.