On Order Bounded Subsets of Locally Solid Riesz Spaces
نویسندگان
چکیده
منابع مشابه
Some Order and Topological Properties of Locally Solid Linear Topological Riesz Spaces
A theorem of Luxemburg and Zaanen on normed Riesz spaces (Theorem 2.4 below) and one of Nakano (Theorem 2.3 below) have been extended by the author in [1] to metrizable locally solid linear topological Riesz spaces. This note gives an example which shows they cannot be further extended to nonmetrizable Hausdorff locally solid linear topological Riesz spaces. 1. Notation and basic concepts. For ...
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 2015
ISSN: 1607-3606,1727-933X
DOI: 10.2989/16073606.2015.1070380