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Linear Operator Theory

Topology of Hilbert spaces, bounded and unbounded linear operators, and spectral theory.

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 3: Bounded Operators
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Lesson 5: Spectral Theory