Two properties of sequence of vector measures on effect algebras

Let ( L ,⊕, 0, 1) be an effect algebra and let X be a Banach space. A function µ: L → X is called a vector measure if µ( a ⊕ b ) = µ( a )+µ( b ) whenever a ∀ b in L . The function µ is said to be s -bounded if lim = 0 in X for any orthogonal sequence ( a n ) n ∈ℕ in L . In this paper, we introduce t...

Full description

Saved in:
Bibliographic Details
Published inApplied Mathematics-A Journal of Chinese Universities Vol. 25; no. 4; pp. 475 - 480
Main Authors Lin, Qing-shui, Li, Rong-lu
Format Journal Article
LanguageEnglish
Published Heidelberg SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.12.2010
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
03G12
81P10
vector measure
bounded
Effect algebra
Online AccessGet full text

Cover

More Information
Summary:Let ( L ,⊕, 0, 1) be an effect algebra and let X be a Banach space. A function µ: L → X is called a vector measure if µ( a ⊕ b ) = µ( a )+µ( b ) whenever a ∀ b in L . The function µ is said to be s -bounded if lim = 0 in X for any orthogonal sequence ( a n ) n ∈ℕ in L . In this paper, we introduce two properties of sequence of s -bounded vector measures and give some results on these properties.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-010-2354-2