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multi-linear
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(Definition)
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Let $V_1, V_2,\ldots, V_n, W$ be vector spaces over a field $K$ . A mapping $$M: V_1\times V_2\times \cdots \times V_n \rightarrow W$$ is called multi-linear or $n$ -linear, if $M$ is linear in each of its arguments.
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"multi-linear" is owned by rmilson. [ full author list (2) ]
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Cross-references: operation, determinant, modules, rings, obvious, bilinear mapping, arguments, mapping, field, vector spaces
There are 22 references to this entry.
This is version 7 of multi-linear, born on 2002-03-20, modified 2006-09-16.
Object id is 2796, canonical name is Multilinear.
Accessed 12292 times total.
Classification:
| AMS MSC: | 15A69 (Linear and multilinear algebra; matrix theory :: Multilinear algebra, tensor products) |
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Pending Errata and Addenda
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