Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, 123.
CONTENTS NOTE
Text of Note
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.