Math 2.0

Operator theory Basic notions: bounded and unbounded operators Concept

Closure of an operator

Summary

The closure of a closable operator is its smallest closed extension. Its graph is the closure of the graph of the original operator. Taking closures lets one define an operator on a simple domain and then pass to a closed operator, to which the main theorems apply.

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Unbounded_operator
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Changed2 November 2026

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