Bornological projective limits of inductive limits of normed spaces
Functional Analysis
2014-06-30 v1
Abstract
We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our criterion with well-known abstract conditions from the context of homological algebra and with conditions arising within the investigation of weighted PLB-spaces of continuous functions.
Keywords
Cite
@article{arxiv.1406.7165,
title = {Bornological projective limits of inductive limits of normed spaces},
author = {José Bonet and Sven-Ake Wegner},
journal= {arXiv preprint arXiv:1406.7165},
year = {2014}
}
Comments
Version of May 1, 2011. 14 pages