Published in:Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete ; 123 Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 123 SpringerLink ; Bücher Springer eBook Collection ; Mathematics and Statistics
Description:
0. Preliminaries -- I. Semi-norms -- II. Applications of the Baire-Hausdorff Theorem -- III. The Orthogonal Projection and F. Riesz’ Representation Theorem -- IV. The Hahn-Banach Theorems -- V. Strong Convergence and Weak Convergence -- VI. Fourier Transform and Differential Equations -- VII. Dual Operators -- VIII. Resolvent and Spectrum -- IX. Analytical Theory of Semi-groups -- X. Compact Operators -- XI. Normed Rings and Spectral Representation -- XII. Other Representation Theorems in Linear Spaces -- XIII. Ergodic Theory and Diffusion Theory -- XIV. The Integration of the Equation of Evolution.