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Lambda BV as a Non ...
Lambda BV as a Non Separable Dual Space
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Ledari, A. A. (author)
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- Hormozi, Mahdi, 1980 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 2010
- 2010
- English.
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In: Iranian Journal of Science and Technology Transaction a-Science. - 1028-6276. ; 34:A3, s. 237-244
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Abstract
Subject headings
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- Let C be a field of subsets of a set I. Also, let Lambda = {lambda(i)}(i=1)(infinity) be a non-decreasing positive sequence of real numbers such that lambda(1) = 1, 1/lambda(i) -> 0 and Sigma(infinity)(i=1) 1/lambda(i) = infinity. In this paper we prove that Lambda BV of all the games of Lambda-bounded variation on C is a non-separable and norm dual Banach space of the space of simple games on C. We use this fact to establish the existence of a linear mapping T from Lambda BV onto F A (finitely additive set functions) which is positive, efficient and satisfies a weak form of symmetry, namely invariance under a semigroup of automorphisms of (I, C).
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Set functions
- duality
- compactness
- non separable
- duality
Publication and Content Type
- ref (subject category)
- art (subject category)
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