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On Riesz spaces with b-property and strongly order bounded operators

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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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Authors and Affiliations

  1. Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey

    Şafak Alpay

  2. Department of Mathematics, Gazi University, Ankara, Turkey

    Birol Altın

Authors
  1. Şafak Alpay
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  2. Birol Altın
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Correspondence to Şafak Alpay.

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Alpay, Ş., Altın, B. On Riesz spaces with b-property and strongly order bounded operators. Rend. Circ. Mat. Palermo 60, 1–12 (2011). https://doi.org/10.1007/s12215-011-0021-y

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  • DOI: https://doi.org/10.1007/s12215-011-0021-y

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