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Linear Operator Theory

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

Bounded Operators

Algebra of bounded operators, self-adjoint and unitary operators, spectral theorem in finite dimension.

Bounded operatorsAlgebra B(H)Self-adjointnessUnitary operatorsNormal operatorsSpectral theorem

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Lesson 2: Linear Operator Theory
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Lesson 4: Unbounded Operators