Geodesic
Tensor products in the category of topological vector spaces are not associative
Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 607-614 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 22A05, 46A16, 46A32, 46M05
Keywords: topological tensor product; associative law; non-locally convex space 
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     author = {Gl\"ockner, Helge},
     title = {Tensor products in the category of topological vector spaces are not associative},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {607--614},
     year = {2004},
     volume = {45},
     number = {4},
     mrnumber = {2103079},
     zbl = {1103.46001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2004_45_4_a4/}
}
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Glöckner, Helge. Tensor products in the category of topological vector spaces are not associative. Commentationes Mathematicae Universitatis Carolinae, Tome 45 (2004) no. 4, pp. 607-614. http://geodesic.mathdoc.fr/item/CMUC_2004_45_4_a4/