Ebook: Functional Analysis
Author: Prof. Kôsaku Yosida (auth.)
- Tags: Mathematics general
- Series: Die Grundlehren der mathematischen Wissenschaften 123
- Year: 1971
- Publisher: Springer Berlin Heidelberg
- Language: English
- pdf
Content:
Front Matter....Pages I-XII
Preliminaries....Pages 1-22
Semi-norms....Pages 23-68
Applications of the Baire-Hausdorff Theorem....Pages 68-81
The Orthogonal Projection and F. Riesz’ Representation Theorem....Pages 81-101
The Hahn-Banach Theorems....Pages 102-119
Strong Convergence and Weak Convergence....Pages 119-145
Fourier Transform and Differential Equations....Pages 145-193
Dual Operators....Pages 193-208
Resolvent and Spectrum....Pages 209-231
Analytical Theory of Semi-groups....Pages 231-274
Compact Operators....Pages 274-293
Normed Rings and Spectral Representation....Pages 294-362
Other Representation Theorems in Linear Spaces....Pages 362-378
Ergodic Theory and Diffusion Theory....Pages 379-418
The Integration of the Equation of Evolution....Pages 418-445
Back Matter....Pages 447-476
Content:
Front Matter....Pages I-XII
Preliminaries....Pages 1-22
Semi-norms....Pages 23-68
Applications of the Baire-Hausdorff Theorem....Pages 68-81
The Orthogonal Projection and F. Riesz’ Representation Theorem....Pages 81-101
The Hahn-Banach Theorems....Pages 102-119
Strong Convergence and Weak Convergence....Pages 119-145
Fourier Transform and Differential Equations....Pages 145-193
Dual Operators....Pages 193-208
Resolvent and Spectrum....Pages 209-231
Analytical Theory of Semi-groups....Pages 231-274
Compact Operators....Pages 274-293
Normed Rings and Spectral Representation....Pages 294-362
Other Representation Theorems in Linear Spaces....Pages 362-378
Ergodic Theory and Diffusion Theory....Pages 379-418
The Integration of the Equation of Evolution....Pages 418-445
Back Matter....Pages 447-476
....
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