Asymmetric locally convex spaces

  • Stefan Cobzas
  • Published 2005 in Int. J. Math. 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 EidelheitTuckey 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 Garcı́a-Raffi et al. (2003) and Cobzaş (2004).

DOI: 10.1155/IJMMS.2005.2585

Cite this paper

@article{Cobzas2005AsymmetricLC, title={Asymmetric locally convex spaces}, author={Stefan Cobzas}, journal={Int. J. Math. Mathematical Sciences}, year={2005}, volume={2005}, pages={2585-2608} }