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---
title: Graph and Closedness
parent: Unbounded Operators
-nav_order: 1
-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.
+nav_order: 2
---
# {{ page.title }}