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

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.
Authors:
;  [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)
Publication Date:
OSTI Identifier:
22479550
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; FUNCTIONS; INTERFERENCE; SPACE