Sökning: onr:"swepub:oai:gup.ub.gu.se/172067" >
Lambda BV as a Non ...
Lambda BV as a Non Separable Dual Space
-
Ledari, A. A. (författare)
-
- Hormozi, Mahdi, 1980 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
-
(creator_code:org_t)
- 2010
- 2010
- Engelska.
-
Ingår i: Iranian Journal of Science and Technology Transaction a-Science. - 1028-6276. ; 34:A3, s. 237-244
- Relaterad länk:
-
https://gup.ub.gu.se...
-
visa fler...
-
https://research.cha...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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).
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Set functions
- duality
- compactness
- non separable
- duality
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas