Asymmetric locally convex spaces

S. Cobzaş

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-24

Abstract:

The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the Eidelheit-Tuckey separation theorems, of the Alaoglu-Bourbaki theorem on the weak compactness of the polar of a neighborhood of 0, and a Krein-Milman-type theorem. These results extend those obtained by García-Raffi et al. (2003) and Cobzaş (2004).

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:891398

DOI: 10.1155/IJMMS.2005.2585

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