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Linear Operator Theory

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

Linear Operator Theory

Definition, domain, composition, continuity, and norm of linear operators in Hilbert space.

Linear operatorsOperator domainOperator compositionContinuityOperator normAdjointDense domain

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Lesson 1: Topology of Hilbert Spaces
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Lesson 3: Bounded Operators