Lyapunov's theorem for measures on D-posets

被引：17

作者：

Barbieri, G ^{[1
]}

机构：

[1] Univ Udine, I-33100 Udine, Italy

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2004年 / 43卷 / 7-8期

关键词：

Lyapunov theorem; effect algebra; measure;

D O I：

10.1023/B:IJTP.0000048807.37145.cc

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize Lyapunov's convexity theorem for measures on effect algebras.

引用

收藏

页码：1613 / 1623

页数：11

相关论文

共 18 条

[1] LIAPOUNOFF THEOREM FOR NON-ATOMIC, FINITELY-ADDITIVE, BOUNDED, FINITE-DIMENSIONAL, VECTOR-VALUED MEASURES
ARMSTRONG, TE
PRIKRY, K
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 266 (02) : 499 - 514
[2] Range of finitely additive fuzzy measures
Avallone, A
Barbieri, G
[J]. FUZZY SETS AND SYSTEMS, 1997, 89 (02) : 231 - 241
[3] On a Marinacci uniqueness theorem for measures
Avallone, A
Basile, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) : 378 - 390
[4] LIAPUNOV THEOREM FOR MODULAR-FUNCTIONS
AVALLONE, A
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (08) : 1197 - 1204
[5] The Hahn decomposition theorem for fuzzy measures and applications
Barbieri, G
Lepellere, MA
Weber, H
[J]. FUZZY SETS AND SYSTEMS, 2001, 118 (03) : 519 - 528
[6] Bhaskara Rao K. P. S., 1983, Theory of Charges: a Study of Finitely Additive Measures
[7] Candeloro D, 1979, ATTI SEMIN MAT FIS, V28, P102
[8] DVURECENSKIJ A, 2000, MATH APPL, P516
[9] EFFECT ALGEBRAS AND UNSHARP QUANTUM-LOGICS
FOULIS, DJ
BENNETT, MK
[J]. FOUNDATIONS OF PHYSICS, 1994, 24 (10) : 1331 - 1352
[10] THE RANGE OF A VECTOR MEASURE
HALMOS, PR
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (04) : 416 - 421