Linear operators preserving weak adjoint matrix between matrix spaces
Ping Zhang · 2009
In this paper, in order to characterize the linear operators on matrix spaces that preserve weak adjoint matrix, we introduce the definition of the preserving weak adjoint matrix and make use of the weak adjoint matrix as the invariant, and then obtain the form of the linear operators from the linear space of Mn×n(F) into Mm×m(F) over the number field F that preserve weak adjoint matrix, where n ≥ 3.