TY - BOOK AU - Von Neumann,John AU - Halperin,Israel TI - Continuous geometries with a transition probability T2 - Memoirs of the American Mathematical Society, SN - 9781470406592 (online) AV - QA3QA171.5 .A57 no. 252 U1 - 510 s511.3/3 19 PY - 1981/// CY - Providence, R.I. PB - American Mathematical Society KW - Continuous geometries KW - Probabilities KW - Von Neumann algebras KW - Quantum theory N1 - "Reproduces a manuscript (third draft) written by John von Neumann in 1937 (the original hand-written manuscript is kept in the J. von Neumann file in the Library of Congress)"--Foreword; "Volume 34."; 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 $L$; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0252 UR - http://dx.doi.org/10.1090/memo/0252 ER -