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Bounded Linear Operators

B.Sc MathematicsFunctional AnalysisđŸŸĸ Free Lesson

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Bounded Linear Operators

Definition

Operator Norm

Properties

Adjoint Operator

Properties of Adjoint

Self-Adjoint Operators

Normal Operators

Spectral Theorem (Finite-Dimensional)

Spectrum

Spectral Radius

Gelfand Formula

Compact Operators

Fredholm Alternative

Resolvent

Continuous Spectrum

Applications

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