Operator theory Basic notions: bounded and unbounded operators Concept
Closable operator
Summary
A closable operator is an unbounded operator that has a closed extension. Many operators are first defined on a convenient small domain, such as smooth functions, and are not closed there. If they are closable, they have a smallest closed extension, the closure, which is the operator one actually studies.
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About this page
| Tag | 3TWMBFQJJ8 |
|---|---|
| URI | m2://3TWMBFQJJ8 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 47A05, 47B25 |
| Specializes | Unbounded operator |
| Changed | 2 November 2026 |
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