AbstractUsing a recent result of Bogdanov and Guterman on the linear preservers of pairs of simultaneously diagonalizable matrices, we determine all the automorphisms of the vector space Mn(R) which stabilize the set of diagonalizable matrices. To do so, we investigate the structure of linear subspaces of diagonalizable matrices of Mn(R) with maximal dimension
AbstractLet (A,B)∈Cn×n×Cn×m and let M be an (A,B)-invariant subspace. In this paper the following re...
AbstractAn operator on the set M of n × n matrices strongly preserves a subset F if it maps F into F...
Preserver problems on matrices concern the characterization of linear or nonlinear maps or operators...
AbstractWe characterise the set of all linear mappings on the algebra of all n × n matrices that pre...
AbstractLet K be an arbitrary (commutative) field, and V be a linear subspace of Mn(K) such that cod...
AbstractIn this paper we elucidate a connection between linear preservers on coordinate subspaces th...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractWe characterise the set of all linear mappings on the algebra of all n × n matrices that pre...
Linear preserver problems concern the characterization of linear operators on matrix spaces that lea...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLinear preserver problems concern the characterization of linear operators on matrix spaces ...
AbstractIn this paper we elucidate a connection between linear preservers on coordinate subspaces th...
Let)(FM be a space of matrices over the field F and)()(:T FF MM → be a linear operator. A common pr...
AbstractLinear preserver problems concern the characterization of linear operators on matrix spaces ...
AbstractLet (A,B)∈Cn×n×Cn×m and let M be an (A,B)-invariant subspace. In this paper the following re...
AbstractAn operator on the set M of n × n matrices strongly preserves a subset F if it maps F into F...
Preserver problems on matrices concern the characterization of linear or nonlinear maps or operators...
AbstractWe characterise the set of all linear mappings on the algebra of all n × n matrices that pre...
AbstractLet K be an arbitrary (commutative) field, and V be a linear subspace of Mn(K) such that cod...
AbstractIn this paper we elucidate a connection between linear preservers on coordinate subspaces th...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractWe characterise the set of all linear mappings on the algebra of all n × n matrices that pre...
Linear preserver problems concern the characterization of linear operators on matrix spaces that lea...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLinear preserver problems concern the characterization of linear operators on matrix spaces ...
AbstractIn this paper we elucidate a connection between linear preservers on coordinate subspaces th...
Let)(FM be a space of matrices over the field F and)()(:T FF MM → be a linear operator. A common pr...
AbstractLinear preserver problems concern the characterization of linear operators on matrix spaces ...
AbstractLet (A,B)∈Cn×n×Cn×m and let M be an (A,B)-invariant subspace. In this paper the following re...
AbstractAn operator on the set M of n × n matrices strongly preserves a subset F if it maps F into F...
Preserver problems on matrices concern the characterization of linear or nonlinear maps or operators...
DOI
Add to ORKG