ON A REPRESENTATION OF COMMUTING MAPS BY TENSOR-PRODUCTS

Citation
L. Grunenfelder et T. Kosir, ON A REPRESENTATION OF COMMUTING MAPS BY TENSOR-PRODUCTS, Linear algebra and its applications, 251, 1997, pp. 215-222
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00243795
Volume
251
Year of publication
1997
Pages
215 - 222
Database
ISI
SICI code
0024-3795(1997)251:<215:OAROCM>2.0.ZU;2-L
Abstract
It is shown that a representation by tensor products of degree n(2) ex ists for every pair of commuting linear maps on an n-dimensional vecto r space, but in general, not a representation of degree less than n(2) . (C) Elsevier Science Inc., 1997