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© 1982

Linear Equations in Banach Spaces

Book

Table of contents

  1. Front Matter
    Pages I-1
  2. S. G. Krein
    Pages 3-5
  3. S. G. Krein
    Pages 6-9
  4. S. G. Krein
    Pages 10-16
  5. S. G. Krein
    Pages 24-26
  6. S. G. Krein
    Pages 27-29
  7. S. G. Krein
    Pages 30-32
  8. S. G. Krein
    Pages 33-37
  9. S. G. Krein
    Pages 38-41
  10. S. G. Krein
    Pages 42-43
  11. S. G. Krein
    Pages 50-52
  12. S. G. Krein
    Pages 59-61
  13. S. G. Krein
    Pages 62-64
  14. S. G. Krein
    Pages 65-79

About this book

Introduction

INTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4. THE EQUATION ADJOINT TO THE FACTORED EQUATION. 17 § 5. AN EQUATION WITH A CLOSED OPERATOR WHICH HAS A DENSE DOMAIN 18 NORMALLY SOLVABLE EQUATIONS WITH FINITE DIMENSIONAL KERNEL. 22 § 6. A PRIORI ESTIMATES .. . . . . . 24 § 7. EQUATIONS WITH FINITE DEFECT . . . 27 § 8. § 9. SOME DIFFERENT ADJOINT EQUATIONS . 30 § 10. LINEAR TRANSFORMATIONS OF EQUATIONS 33 TRANSFORMATIONS OF d-NORMAL EQUATIONS . 38 § 11. § 12. NOETHERIAN EQUATIONS. INDEX. . . . . . 42 § 13. EQUATIONS WITH OPERATORS WHICH ACT IN A SINGLE SPACE 44 § 14. FREDHOLM EQUATIONS. REGULARIZATION OF EQUATIONS 46 § 15. LINEAR CHANGES OF VARIABLE . . . . . . . . 50 § 16. STABILITY OF THE PROPERTIES OF AN EQUATION 53 OVERDETERMINED EQUATIONS 59 § 17. § 18. UNDETERMINED EQUATIONS 62 § 19. INTEGRAL EQUATIONS . . . 65 DIFFERENTIAL EQUATIONS . 80 § 20. APPENDIX. BASIC RESULTS FROM FUNCTIONAL ANALYSIS USED IN THE TEXT 95 LITERATURE CITED . . . . . . . . . . . . . . . . . . .. . . . 99 . . PRE F ACE The basic material appearing in this book represents the substance v of a special series of lectures given by the author at Voronez University in 1968/69, and, in part, at Dagestan University in 1970.

Keywords

BASIC DEX Factor THE banach spaces differential equation form function functional analysis integral integral equation kernel operator university variable

Authors and affiliations

  1. 1.Department of MathematicsVoronezh UniversityVoronezhUSSR

Bibliographic information

  • Book Title Linear Equations in Banach Spaces
  • Authors KREIN
  • DOI https://doi.org/10.1007/978-1-4684-8068-9
  • Copyright Information Birkhäuser Boston 1982
  • Publisher Name Birkhäuser Boston
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-0-8176-3101-7
  • eBook ISBN 978-1-4684-8068-9
  • Edition Number 1
  • Number of Pages XII, 106
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Functional Analysis
    Topology
  • Buy this book on publisher's site
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