Category:Hellinger-Toeplitz Theorem

This category contains pages concerning Hellinger-Toeplitz Theorem:

Let $\struct {\HH, \innerprod \cdot \cdot}$ be a Hilbert space.

Let $T : \HH \to \HH$ be a Hermitian operator.

That is:

$\innerprod {T x} y = \innerprod x {T y}$ for each $x, y \in \HH$.

Then:

$T$ is bounded.