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In a previous paper, the author used a notion of orthogonality introduced in another article to establish characterizations for orthogonality in the spaces l Sp (C), 1=<p<~, thus obtaining generalizations of the usual characterization of orthogonality in the Hilbert spaces l S2 (C), via inner products. In this paper we make explicit these characterizations for some of the spaces l Sp (C). We finish by presenting some remarks and open problems.