Two properties of sequence of vector measures on effect algebras

被引:0
|
作者
Lin Qing-shui [1 ]
Li Rong-lu [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China
关键词
Effect algebra; s-bounded; vector measure;
D O I
10.1007/s11766-010-2354-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let (L, circle plus, 0, 1) be an effect algebra and let X be a Banach space. A function mu : L -> X is called a vector measure if mu(a circle plus b) = mu(a) + mu(b) whenever a perpendicular to b in L. The function mu is said to be s-bounded if lim(n ->infinity) mu(a(n)) = 0 in X for any orthogonal sequence (a(n))(n is an element of N) in L. In this paper, we introduce two properties of sequence of s-bounded vector measures and give some results on these properties.
引用
收藏
页码:475 / 480
页数:6
相关论文
共 50 条
  • [31] AN EXTENSION THEOREM FOR MODULAR MEASURES ON EFFECT ALGEBRAS
    Barbieri, Giuseppina
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2009, 59 (03) : 707 - 719
  • [32] An extension theorem for modular measures on effect algebras
    Giuseppina Barbieri
    Czechoslovak Mathematical Journal, 2009, 59 : 707 - 719
  • [33] Probability weights and measures on finite effect algebras
    Foulis, DJ
    Greechie, RJ
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (12) : 3189 - 3208
  • [34] HEREDITARY PROPERTIES OF VECTOR SEQUENCE SPACES
    GREGORY, DA
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1970, 243 : 66 - &
  • [35] SOME PROPERTIES IN VECTOR SEQUENCE SPACES
    Ghenciu, Ioana
    Popescu, Roxana
    QUAESTIONES MATHEMATICAE, 2024,
  • [36] Some Properties of Vector-valued Lipschitz Algebras
    Azizi, Mohsen
    Biyabani, Emamgholi
    Rejali, Ali
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2020, 15 (02): : 191 - 205
  • [37] Two properties of endomorphisms of Weyl algebras
    Lauritzen, Niels
    Thomsen, Jesper Funch
    JOURNAL OF ALGEBRA, 2017, 479 : 137 - 158
  • [38] On the properties of spectral effect algebras
    Jencova, Anna
    Plavala, Martin
    QUANTUM, 2019, 3
  • [39] PROPERTIES OF IMPLICATION IN EFFECT ALGEBRAS
    Chajda, Ivan
    Laenger, Helmut
    MATHEMATICA SLOVACA, 2021, 71 (03) : 523 - 534
  • [40] Noncommutative symmetric algebras of two-sided vector spaces
    Patrick, D
    JOURNAL OF ALGEBRA, 2000, 233 (01) : 16 - 36