Extension of absolute weak topologies and Riesz homomorphisms

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  • 絶対的弱位相の拡張とリエスホモモルヒズム

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Abstract

Let L be a Riesz space and I an ideal of L^～. In this paper we show that if I ⊂ L^～_n and I separates the points of L, then there exists a unique "largest" Riesz dual system <L_I, L'_I>, called the largest enlargement of <L, I>, which satisfies the statement given in [3, 5.2], and at the same time we give a sequential version of its result. From this, given in [1] theorem 23.33 extends to the argument on σ-laterally complete Riesz spaces and example 24.15 is generalized.

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KJ00000699142

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