Asymmetric locally convex spaces

S. Cobzaş
2005 International Journal of Mathematics and Mathematical Sciences  
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).
doi:10.1155/ijmms.2005.2585 fatcat:lhyjbpv4bjadfouddlnqzw74sa