Duals of a subspace and its quotient
= Duals of a subspace and its quotient
For a finite-dimensional vector space and $U\leq V$, dualizing the quotient and inclusion maps gives
$$
(V/U)^*\cong U^\circ,
\qquad
U^*\cong V^*/U^\circ.
$$
= Duals of a subspace and its quotient
For a finite-dimensional vector space and $U\leq V$, dualizing the quotient and inclusion maps gives
$$
(V/U)^*\cong U^\circ,
\qquad
U^*\cong V^*/U^\circ.
$$