A note on barreledness in locally convex cones
Functional Analysis
2019-09-10 v1
Abstract
Locally convex cones are generalization of locally convex spaces. The assertion, whether a barreled cone is an upper-barreled cone or not, was posed as a question in [A. Ranjbari, H. Saiflu, Projective and inductive limits in locally convex cones, J. Math. Anal. Appl. 332 (2) (2007) 1097-1108]. In this paper, we show that a barreled locally convex cone is not necessarily upper-barreled.
Keywords
Cite
@article{arxiv.1909.03387,
title = {A note on barreledness in locally convex cones},
author = {Amir Dastouri and Asghar Ranjbari},
journal= {arXiv preprint arXiv:1909.03387},
year = {2019}
}