On Riesz spaces with b-property and strongly order bounded operators |
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Authors: | Şafak Alpay Birol Altın |
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Institution: | 1. Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey 2. Department of Mathematics, Gazi University, Ankara, Turkey
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Abstract: | A Riesz space E is said to have the b-property if each subset that is order bounded in the bidual remains to be order bounded in E. Properties of a Riesz space with the b-property, the relationship between the b-property and various classes of operators are studied. |
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