Category:Examples of Use of Riesz Representation Theorem (Hilbert Spaces)

This category contains examples of use of Riesz Representation Theorem (Hilbert Spaces).

Let $H$ be a Hilbert space.

Let $L$ be a bounded linear functional on $H$.

Then there is a unique $h_0 \in H$ such that:

$\forall h \in H: L h = \innerprod h {h_0}$