XXXIX Workshop on Geometric Methods in Physics |
19-25.06.2022 |
XI School on Geometry and Physics |
2022 |
Piotr Sołtan
Unbounded operators on Hilbert spaces
Plan:
- Basic operator theory (bounded operators on Hilbert spaces, the spectrum, the adjoint operator, functional calculus, positive operators, polar decomposition)
- Unbounded operators (domains, graphs, the spectrum, the adjoint operator)
- The z-transform of an operator, functional calculus, polar decomposition
- Self-adjoint extension of symmetric operators
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