AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Continuous geometries with a transition probability
About this Title
John von Neumann
Publication: Memoirs of the American Mathematical Society
Publication Year:
1981; Volume 34, Number 252
ISBNs: 978-0-8218-2252-4 (print); 978-1-4704-0659-2 (online)
DOI: https://doi.org/10.1090/memo/0252
MathSciNet review: 634656
MSC: Primary 46L10; Secondary 06C20, 47D99, 52A50, 81B10
Table of Contents
Chapters
- I. The axioms
- II. Geometrical character of $L$ and the ring $\mathcal {R}$
- III. Unitary transformations
- IV. Definiteness
- V. Real traces
- VI. Real traces and transition probabilities
- VII. Completeness properties. Uniqueness of the real trace. The center
- VIII. The operatorial description in a unitary space
- IX. Construction of all systems $L$