دورية
Egoroff properties and the order topology in Riesz spaces
| العنوان: | Egoroff properties and the order topology in Riesz spaces |
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| المؤلفون: | Dodds, Theresa K. Y. Chow |
| المصدر: | Transactions of the American Mathematical Society; 1974, Vol. 187 Issue: 1 p365-375, 11p |
| مستخلص: | In this paper we prove that, for a Riesz space L, the order closure of each subset of L coincides with its pseudo order closure if and only if the order closure of each convex subset of L coincides with its pseudo order closure; moreover, each of these statements is equivalent to the strong Egoroff property. For Archimedean Riesz spaces, similar results hold for the relative uniform topology. |
| قاعدة البيانات: | Supplemental Index |
| تدمد: | 00029947 10886850 |
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