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Title: Super quantum measures on effect algebras with the Riesz decomposition properties

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4933324· OSTI ID:22479550
;  [1];  [2]
  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062 (China)
  2. College of Science, Xi’an University of Science and Technology, Xi’an 710054 (China)

We give one basis of the space of super quantum measures on finite effect algebras with the Riesz decomposition properties (RDP for short). Then we prove that the super quantum measures and quantum interference functions on finite effect algebras with the RDP are determined each other. At last, we investigate the relationships between the super quantum measures and the diagonally positive signed measures on finite effect algebras with the RDP in detail.

OSTI ID:
22479550
Journal Information:
Journal of Mathematical Physics, Vol. 56, Issue 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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