Tensor products in the category of topological vector spaces are not associative

Details Tensor products in the category of topological vector spaces are not associative Tensor products in the category of topological vector spaces are not associative

2003-07-03

arxiv.org/abs/math/0307041v2

Mathematics

Functional Analysis

7 pages; v2: new version focusses on the real case

Scientific paper

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.

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