Functional Analysis

• Spaces:
  • [[Normed linear spaces]], [[Banach spaces]].
  • [[Inner-product spaces]], [[Hilbert spaces]], [[orthonormal bases]].
• Theorems:
  • [[Hahn-Banach theorem]], [[open mapping and closed graph theorems]], [[principle of uniform boundedness]].
  • [[Projection theorem]], [[Riesz representation theorem]], [[spectral theorem for compact self-adjoint operators]].