© 1974

Functional Analysis


Table of contents

  1. Front Matter
    Pages I-XII
  2. Kôsaku Yosida
    Pages 1-22
  3. Kôsaku Yosida
    Pages 23-68
  4. Kôsaku Yosida
    Pages 68-81
  5. Kôsaku Yosida
    Pages 102-119
  6. Kôsaku Yosida
    Pages 119-145
  7. Kôsaku Yosida
    Pages 145-193
  8. Kôsaku Yosida
    Pages 193-208
  9. Kôsaku Yosida
    Pages 209-231
  10. Kôsaku Yosida
    Pages 231-274
  11. Kôsaku Yosida
    Pages 274-293
  12. Kôsaku Yosida
    Pages 294-362
  13. Kôsaku Yosida
    Pages 362-378
  14. Kôsaku Yosida
    Pages 379-418
  15. Kôsaku Yosida
    Pages 418-465
  16. Back Matter
    Pages 467-498

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.


Hilbert space Laplace operator Self-adjoint operator convolution differential equation differential operator distribution extrema functional analysis generalized function integral integration maximum operational calculus operator

Authors and affiliations

  1. 1.Gakushuin UniversityTokyoJapan

Bibliographic information

  • Book Title Functional Analysis
  • Authors Kosaku Yosida
  • Series Title Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-06812-9
  • Softcover ISBN 978-3-642-96210-3
  • eBook ISBN 978-3-642-96208-0
  • Series ISSN 0072-7830
  • Edition Number 4
  • Number of Pages , 0
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
  • Buy this book on publisher's site
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