Weak convergence in a Hilbert space
= Weak convergence in a Hilbert space
A sequence $x_n$ converges weakly to $x$ when $\langle x_n,y\rangle\to\langle x,y\rangle$ for every $y$ in the Hilbert space.
= Weak convergence in a Hilbert space
A sequence $x_n$ converges weakly to $x$ when $\langle x_n,y\rangle\to\langle x,y\rangle$ for every $y$ in the Hilbert space.