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                                       Details for article 7 of 11 found articles
 
 
  Invertibility of linear maps preserving matrix invariants
 
 
Title: Invertibility of linear maps preserving matrix invariants
Author: Waterhouse, William C.
Appeared in: Linear & multilinear algebra
Paging: Volume 13 (1983) nr. 2 pages 105-113
Year: 1983-05
Contents: There is a noninvertible linear map preserving a given function iff the function is constant on translates of a subspace. Any group preserving the function preserves the subspace. Hence it is often easy to isolate the cases in which such a noninvertible linear map can exist. For similarity invariants of matrices, this happens only for functions of the trace and for fuctions f satisfying f(X + λI) ≡ f(X).
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 7 of 11 found articles
 
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