mindmap/Hilbert Space.org


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:PROPERTIES:
:ID:       eac079b7-1144-4506-b8c5-4717ccac8a7b
:END:
#+title: Hilbert Space
#+author: Preston Pan
#+description: Hilbert spaces are fundamental topological spaces.

#+options: broken-links:t

* Introduction
A Hilbert Space $\mathcal{H}$ is an [[id:36a2715c-a8db-4b75-b799-61ce43be2d2d][inner product space]] whose inner product defines a complete metric space.