INVERTIBLE PRESERVERS OF CERTAIN DECOMPOSABLE TENSORS

Authors
Citation
Mh. Lim, INVERTIBLE PRESERVERS OF CERTAIN DECOMPOSABLE TENSORS, Linear algebra and its applications, 266, 1997, pp. 153-159
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
266
Year of publication
1997
Pages
153 - 159
Database
ISI
SICI code
0024-3795(1997)266:<153:IPOCDT>2.0.ZU;2-B
Abstract
Let U be an n-dimensional vector space over: a field of characteristic O. For each positive integer k < min{m, n}, let J(k) be the set of al l decomposable elements x(1) x ... x x(m) in the mth tensor product ci rcle times(m) U such that dim(x(1),..., x(m)) less than or equal to k. We characterize those nonsingular linear mappings T on x(m) U such th at T(J(k)) subset of or equal to J(k). (C) 1997 Elsevier Science Inc.