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Functional Analysis

  • Book
  • © 1968

Overview

Authors:
  1. Kôsaku Yosida

    1. Department of Mathematics, University of Tokyo, Tokyo, Japan

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 123)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XII
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  2. Preliminaries

    • Kôsaku Yosida
    Pages 1-22

  3. Semi-norms

    • Kôsaku Yosida
    Pages 23-68

  4. Applications of the Baire-Hausdorff Theorem

    • Kôsaku Yosida
    Pages 68-81

  5. The Orthogonal Projection and F. Riesz’ Representation Theorem

    • Kôsaku Yosida
    Pages 81-101

  6. The Hahn-Banach Theorems

    • Kôsaku Yosida
    Pages 102-119

  7. Strong Convergence and Weak Convergence

    • Kôsaku Yosida
    Pages 119-145

  8. Fourier Transform and Differential Equations

    • Kôsaku Yosida
    Pages 145-193

  9. Dual Operators

    • Kôsaku Yosida
    Pages 193-208

  10. Resolvent and Spectrum

    • Kôsaku Yosida
    Pages 209-231

  11. Analytical Theory of Semi-groups

    • Kôsaku Yosida
    Pages 231-274

  12. Compact Operators

    • Kôsaku Yosida
    Pages 274-293

  13. Normed Rings and Spectral Representation

    • Kôsaku Yosida
    Pages 294-362

  14. Other Representation Theorems in Linear Spaces

    • Kôsaku Yosida
    Pages 362-378

  15. Ergodic Theory and Diffusion Theory

    • Kôsaku Yosida
    Pages 379-411

  16. The Integration of the Equation of Evolution

    • Kôsaku Yosida
    Pages 411-438

  17. Back Matter

    Pages 439-468
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Tokyo, Tokyo, Japan

    Kôsaku Yosida

Bibliographic Information

  • Book Title: Functional Analysis

  • Authors: Kôsaku Yosida

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-11791-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1968

  • eBook ISBN: 978-3-662-11791-0Published: 17 April 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 2

  • Number of Pages: XII, 468

  • Topics: Analysis, Functional Analysis

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