the space c becomes a Banach space. It is a closed linear subspace of the space of bounded sequences, ℓ∞, and contains as a closed subspace the Banach space c0 of sequences converging to zero. The dual of c is isometrically isomorphic to ℓ1, as is that of c0. In particular, neither c nor c0 is reflexive. This is the Riesz representation theo...