Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Bin Wen and Chunyan Ji
Pages: [15] - [25]
Received Date: March 18, 2010
Submitted by:
A notion of linear map falsely preserving Moore-Penrose-symmetric
matrices is originally proposed, which firstly solves the problem of
the extension for linear preserver problems from algebras of square
matrices to that of non-square matrices. The characterization of
linear false preserver is given as follows.
(a) If 
then f is a linear map falsely
preserving MPS matrices, if and only if f has one of the
following forms: (i) 
(ii) 
for all 
(iii) 
for all 
(b) If then f is a linear map falsely
preserving MPS matrices, if and only if f has one of the
following forms: (i) (ii) 
for all 
Moore-Penrose-symmetric matrix, linear preserver, linear false preserver.
