Kosaku Yosida: Functional Analysis
Blurb
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 Equations of Evolution.
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