Tensor products in the category of topological vector spaces are not associative
Functional Analysis
2007-05-23 v2
Abstract
We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
Keywords
Cite
@article{arxiv.math/0307041,
title = {Tensor products in the category of topological vector spaces are not associative},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:math/0307041},
year = {2007}
}
Comments
7 pages; v2: new version focusses on the real case