The Weak TGA in p-Banach spaces

In this paper, we revisit the Weak Thresholding Greedy Algorithm (WTGA) and use it in the context of p-Banach spaces with two main objectives: to provide a natural and constructive way to define the algorithm, and to extend a series of results from Banach spaces over the field of real numbers to the case of p-Banach spaces over the complex field, by studying the best approximation of the WTGA in relation to approximation using polynomials with constant coefficients.