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Invertible preservers of certain decomposable tensors

โœ Scribed by M.H. Lim

Book ID
104156052
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
315 KB
Volume
266
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

Let U be an n-dimensional vector space over a field of characteristic 0. For each positive integer k < min(m, n), let Jk be, the set of all decomposable elements XI 8 ... @ xm in the mth tensor product @U such that dim( xi,. . . , x,) Q k. We characterize those nonsingular linear mappings T on g U such that T(Jk) ~1~.

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