Explicit characterizations of orthogonality in l p S (C)

In a previous paper, the author used a notion of orthogonality introduced in another article to establish characterizations for orthogonality in the spaces l p S (C), 1 p < ∞, thus obtaining generalizations of the usual characterization of orthogonality in the Hilbert spaces l2 S(C), via inner products. In this paper we make explicit these characterizations for some of the spaces l p S (C). We finish by presenting some remarks and open problems.  2002 Elsevier Science (USA). All rights reserved.