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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]
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Abstract

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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