Day 246: Spectrum of an Operator

Learning Objectives

• •**Define** the spectrum and resolvent of a bounded linear operator
• •**Classify** spectral points into point, continuous, and residual spectrum
• •**Compute** the spectral radius and relate it to the operator norm
• •**Prove** fundamental properties of the resolvent function
• •**Analyze** spectra of specific operators on Hilbert spaces
• •**Connect** spectral concepts to quantum mechanical observables

Today's Schedule (7 hours)