Asymmetric locally convex spaces

  • Stefan Cobzas
  • Published 2005 in Int. J. Math. Mathematical Sciences

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 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} }