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Additive preservers of non-zero decomposable tensors

✍ Scribed by Ming-Huat Lim

Book ID
104037217
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
181 KB
Volume
428
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let T be an additive mapping from a tensor product of vector spaces over a field into itself. We describe T for the following two cases: (i) T is surjective and sends non-zero decomposable elements to non-zero decomposable elements, and (ii) T(A) is a non-zero decomposable element if and only if A is a non-zero decomposable element.

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