Linear Operators in Hilbert Spaces
The following sections are included:
Orthonormal Sets
Adjoints
Accretive Operators
Weak Solutions
Example: Constant Coefficient PDEs
Self-adjoint Operators
Example: Sturm-Liouville Problem
Sectorial Forms
Example: Harmonic Oscillator and Hermite Functions
Example: Completeness of Bessel Functions
Example: Finite Element Method
Friedrichs Extension
Exercises