Reflexive algebras and sigma algebras

T. C. Przymusinski and V. K. Srinivasan

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-6

Abstract:

The concept of a reflexive algebra ( σ -algebra) β of subsets of a set X is defined in this paper. Various characterizations are given for an algebra ( σ -algebra) β to be reflexive. If V is a real vector lattice of functions on a set X which is closed for pointwise limits of functions and if β = { A | A ⫅ X and C A ( x ) ∈ V } is the σ -algebra induced by V then necessary and sufficient conditions are given for β to be reflexive (where C A ( x ) is the indicator function).

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:435491

DOI: 10.1155/S016117128600100X

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