Riesz Spaces II


  • A.C. Zaanen

While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.
View full description


Book information

  • Published: May 1983
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-86626-4


...the book will not only serve the specialist as a valuable reference, but will also provide ready access to the key ideas of the theory for the interested non-specialist and for the student... a very substantial contribution to the subject.
Bulletin of the American Mathematical Society

Table of Contents

11. Prime Ideal Extension. 12. Order Bounded Operators. 13. Kernel Operators. 14. Normed Riesz Spaces. 15. Order Continuous Norms. 16. Embedding in Biduals. 17. Abstract Lp Spaces. 18. Compact Operators. 19. Orlicz Spaces and Irreducible Operators. 20. Orthomorphisms and f-Algebras. Bibliography. Subject Index.