The dual of the sequence spaces with mixed norms $$l^{(p, \infty )}$$ l ( p , ∞ )

Abstract

Abstract We identify a norm-dense subspace of the dual of the sequence space $$l^{(p,\infty )}$$ l ( p , ∞ ) , thus closing the existing gap in the literature. We based our approach on the notion of James orthogonality, absolutely continuous norms and on the uniform convexity and the uniform smoothness of the underlying subspaces.

Keywords

• 47H09
• 46B20
• 47H10
• 47E10