Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T12:27:08.013Z Has data issue: false hasContentIssue false
  • English
  • Français

MEASURES ON EFFECT ALGEBRAS

Published online by Cambridge University Press:  01 June 2008

LUO LAIZHEN  and
LI RONGLU
LUO LAIZHEN*
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150006, People’s Republic of China (email: [email protected])
LI RONGLU
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150006, People’s Republic of China
*
✉For correspondence; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, by introducing the bounded variation measure defined on effect algebras, we present the equivalent conditions about uniformly strongly additive measures.

Keywords

effect algebrasstrongly additivevector-valued measures
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 3 , June 2008 , pp. 433 - 439
Copyright
Copyright © 2008 Australian Mathematical Society

References

[1]Foulis, D. J. and Bennett, M. K., ‘Effect algebras and unsharp quantum logics’, Found. Phys. 24 (1994), 1331–1352.CrossRefGoogle Scholar
[2]Hwang, H. T., Li, L. L. and Kim, H., ‘Bounded vector measures on effect algebras’, Bull. Austral. Math. Soc. (2) 72 (2005), 291–298.CrossRefGoogle Scholar
[3]Mazario, F. G., ‘Convergence theorems for topological group valued measures on effect algebras’, Bull. Austral. Math. Soc. 64 (2001), 213–231.Google Scholar