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                                       Details for article 6 of 8 found articles
 
 
  On equality of maps induced by tensor and symmetric products
 
 
Title: On equality of maps induced by tensor and symmetric products
Author: Carlson, David
Loewy, Raphael
Appeared in: Linear & multilinear algebra
Paging: Volume 17 (1985) nr. 2 pages 87-100
Year: 1985-04
Contents: Suppose q ≥ 2 and I is a field with at least q elements. Let Ar,= 1,….be nonzero linear maps (with appropriate vector spaces over F as domains and codomains), at most one of rank one. and let Br.i = 1…,q, be linear maps so that At and Bt have the same domain and codomain. Then each of (i)B1x⊗ … ⊗ Bqx = A1x ⊗ … ⊗ Aqxfor all x; (ii)B1x1v … v Bqxq = A1x1 v … v Aqxq for all x1… xq and (iii)B1xv … v Bqx = A1x v … v Aqx for all x; is sufficient as well as necessary for the natural corresponding condition of linear dependence of the maps At and Bt.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 6 of 8 found articles
 
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