We show convergence of the weak dual greedy algorithm in wide class of Banach spaces, extending our previous result where it was shown to converge in subspaces of quotients of Lp (for 1p∞). In particular, we show it converges in the Schatten ideals Sp when 1p∞ and in any Banach lattice which is p-convex and q-concave with constants one, where 1pq∞. We also discuss convergence of the algorithm for general convex functions.
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