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Functional Analysis

  • Book
  • © 1974

Overview

Authors:
  1. Kôsaku Yosida

    1. Gakushuin University, 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 379-418

  16. The Integration of the Equation of Evolution

    • Kôsaku Yosida
    Pages 418-465

  17. Back Matter

    Pages 467-498
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About this book

of the galley proof, correcting errors and improving the presentation. To all of them, the author expresses his warmest gratitude. Thanks are also due to Professor F. K. SCHMIDT of Heidelberg Uni­ Yersity and to Professor T. KATO of the University of California at Berkeley who constantly encouraged the author to write up the present book. Finally, the author wishes to express his appreciation to Springer­ Verlag for their most efficient handling of the publication of this book. Tokyo, September 1964 I{oSAKu YOSIDA Preface to the Second Edition In the preparation of this edition, the author is indebted to Mr. FLORET of Heidelberg who kindly did the task of enlarging the Index to make the book more useful. The errors in the second printing are cor­ rected thanks to the remarks of many friends. In order to make the book more up-to-date, Section 4 of Chapter XIV has been rewritten entirely for this new edition. Tokyo, September 1967 KOSAKU YOSIDA Preface to the Third Edition A new Section (9. Abstract Potential Operators and Semi-groups) pertaining to G. HUNT'S theory of potentials is inserted in Chapter XIII of this edition. The errors in the second edition are corrected thanks to kind remarks of many friends, especially of Mr. KLAUS-DIETER BIER­ STEDT.

Authors and Affiliations

  • Gakushuin University, Tokyo, Japan

    Kôsaku Yosida

Bibliographic Information

  • Book Title: Functional Analysis

  • Authors: Kôsaku Yosida

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-96208-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1974

  • eBook ISBN: 978-3-642-96208-0Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 4

  • Topics: Analysis

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