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Jordan algebras of self-adjoint operators

About this Title

David M. Topping

Publication: Memoirs of the American Mathematical Society
Publication Year: 1965; Number 53
ISBNs: 978-0-8218-1253-2 (print); 978-0-8218-9998-4 (online)
DOI: https://doi.org/10.1090/memo/0053
MathSciNet review: 0190788

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Terminology
  • 3. Commutativity and the center
  • 4. JW-algebras
  • 5. Quadratic ideals
  • 6. Annihilators
  • 7. Type I
  • 8. Some algebraic facts
  • 9. Position $p’$
  • 10. Relations with perspectivity
  • 11. Equivalence and central covers
  • 12. Generalized comparability
  • 13. Modularity and finiteness
  • 14. The type decomposition
  • 15. Some structure theory
  • 16. Dimension functions
  • 17. Dimension lattice structure
  • 18. The trace
  • 19. A new kind of factor
  • 20. Concluding remarks