絶対的弱位相の拡張とリエスホモモルヒズム

概要

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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.
静岡産業大学の論文