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- aggregation classification "A1".
- aggregation creator B255575.
- aggregation creator B255576.
- aggregation creator person.
- aggregation date "2013".
- aggregation format "application/pdf".
- aggregation hasFormat 2152936.bibtex.
- aggregation hasFormat 2152936.csv.
- aggregation hasFormat 2152936.dc.
- aggregation hasFormat 2152936.didl.
- aggregation hasFormat 2152936.doc.
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- aggregation hasFormat 2152936.mets.
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- aggregation hasFormat 2152936.txt.
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- aggregation hasFormat 2152936.yaml.
- aggregation isPartOf urn:issn:0308-1087.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "On the rank of 3x3x3 -tensors".
- aggregation abstract "Let U, V and W be finite dimensional vector spaces over the same field. The rank of a tensor t in U???V???W is the minimum dimension of a subspace of U???V???W containing t and spanned by fundamental tensors, i.e. tensors of the form u???v???w for some u in U, v in V and w in W. We prove that if U, V and W have dimension three, then the rank of a tensor in U???V???W is at most six, and such a bound cannot be improved, in general. Moreover, we discuss how the techniques employed in the proof might be extended to prove upper bounds for the rank of a tensor in U???V???W when the dimensions of U, V and W are higher.".
- aggregation authorList BK529768.
- aggregation endPage "652".
- aggregation issue "5".
- aggregation startPage "646".
- aggregation volume "61".
- aggregation aggregates 2152937.
- aggregation isDescribedBy 2152936.
- aggregation similarTo 03081087.2012.701299.
- aggregation similarTo LU-2152936.