An Extension theorem for Riesz homomorphisms
β Scribed by W.A.J. Luxemburg; A.R. Schep
- Publisher
- Elsevier Science
- Year
- 1979
- Weight
- 570 KB
- Volume
- 82
- Category
- Article
- ISSN
- 1385-7258
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π SIMILAR VOLUMES
let m β E be a finitely additive measure with finite semivariation, defined on a Ξ΄-ring of subsets of a given set S. A theory of integration of vector-valued functions f S β E, applicable to the stochastic integration in Banach spaces, is developed in [6, Sect. 5]. Many times a measure m is defined
Given a Steiner system S(2,k-1;v) with v>~vo(k), there is a 3-design Sa(3, k;v+ t) such that the derived design is 2 copies of the Steiner system for any 2 sufficiently large satisfying the standard arithmetic conditions. This theorem has applications in the construction of Steiner 3-designs.