: Expresses the inner product in terms of the norm. For a real space: ✅ Final Answer
‖x+y‖2+‖x−y‖2=2(‖x‖2+‖y‖2)the norm of x plus y end-norm squared plus the norm of x minus y end-norm squared equals 2 open paren the norm of x end-norm squared plus the norm of y end-norm squared close paren kreyszig functional analysis solutions chapter 3
Example problem: Show that $\langle x, y \rangle = x_1 y_1 + 2x_2 y_2$ defines an inner product on $\mathbbR^2$. : Expresses the inner product in terms of the norm