 Duality of sequence spaces

Coordinate pairing gives $({\ell }^p{)}^{\ast }={\ell }^q$ for $1<p<\infty$, $({\ell }^1{)}^{\ast }={\ell }^{\infty }$, and $(c_0{)}^{\ast }={\ell }^1$.

These are continuous-dual identifications under coordinate pairing, related to but distinct from the definition of an Lp space.