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---
title: Adjoint Operators
parent: Unbounded Operators
nav_order: 1
published: false
description: >
The Hellinger–Toeplitz Theorem states that an everywhere-defined symmetric
operator on a Hilbert space is bounded. We give a proof using the Uniform
Boundedness Theorem. We give another proof using the Closed Graph Theorem.
---
# {{ page.title }}
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