Non-Archimedean Operator Theory

  • Toka Diagana
  • François Ramaroson

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Toka Diagana, François Ramaroson
    Pages 1-39
  3. Toka Diagana, François Ramaroson
    Pages 41-60
  4. Toka Diagana, François Ramaroson
    Pages 61-84
  5. Toka Diagana, François Ramaroson
    Pages 85-105
  6. Toka Diagana, François Ramaroson
    Pages 107-121
  7. Toka Diagana, François Ramaroson
    Pages 123-129
  8. Toka Diagana, François Ramaroson
    Pages 131-139
  9. Back Matter
    Pages 141-156

About this book


This book  focuses on the theory of linear operators on non-Archimedean Banach spaces.  The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used  as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. 

The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases. 


operator theory non-Archimedean Banach spaces Banach spaces linear operators Fredholm operators non-Archimedean linear operators spectral theory

Authors and affiliations

  • Toka Diagana
    • 1
  • François Ramaroson
    • 2
  1. 1.Department of MathematicsHoward UniversityWashingtonUSA
  2. 2.Howard UniversityUSA

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-27322-8
  • Online ISBN 978-3-319-27323-5
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site