Functional Analysis

Inhaltsverzeichnis

• Preliminaries.
• Semi-norms.
• Applications of the Baire-Hausdorff Theorem.
• The Orthogonal Projection and F. Riesz’ Representation Theorem.
• The Hahn-Banach Theorems.
• Strong Convergence and Weak Convergence.
• Fourier Transform and Differential Equations.
• Dual Operators.
• Resolvent and Spectrum.
• Analytical Theory of Semi-groups.
• Compact Operators.
• Normed Rings and Spectral Representation.
• Other Representation Theorems in Linear Spaces.
• Ergodic Theory and Diffusion Theory.
• The Integration of the Equation of Evolution.