| Title:
|
Tensor products in the category of topological vector spaces are not associative (English) |
| Author:
|
Glöckner, Helge |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
607-614 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
topological tensor product |
| Keyword:
|
associative law |
| Keyword:
|
non-locally convex space |
| MSC:
|
22A05 |
| MSC:
|
46A16 |
| MSC:
|
46A32 |
| MSC:
|
46M05 |
| idZBL:
|
Zbl 1103.46001 |
| idMR:
|
MR2103079 |
| . |
| Date available:
|
2009-05-05T16:47:58Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119489 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
