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Hilbert Spaces and Linear Operators

Algebra & topology, linear operator theory & spectral theory. Dirac notation.

Unbounded Operators

Densely defined operators, closure, adjoint, self-adjoint extensions, and essential self-adjointness criteria.

Unbounded operatorsDense domainClosureSymmetric operatorsSelf-adjoint extensionsDeficiency indices

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Lesson 6: Bounded Operators
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Lesson 8: Spectral Theory