AbstractLet Tn(F) denote the vector space of all n × n upper triangular matrices over a field F. We characterize those linear transformations T on Tn(F) that satisfy one of the following properties: (1) T preserves rank one matrices; (2) T preserves both singular and nonsingular matrices; (3) T is nonsingular and T(adj A) = adj T(A) for all A ∈ Tn(F)
AbstractWe characterize the linear operators that preserve the set of sign-nonsingular matrices. We ...
AbstractLet Mm, n(F) denote the set of all m×n matrices over the algebraically closed field F. Let T...
AbstractLet Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a fiel...
Let F be any field and let Tn(F) be the n × n upper triangular matrix space over F. We denote the se...
AbstractIt is proved that a linear transformation on the vector space of upper triangular matrices t...
AbstractIt is proved that a linear transformation on the vector space of upper triangular matrices t...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet F be a field with ∣F∣>2 and Tn(F) be the set of all n×n upper triangular matrices, where...
AbstractWe describe some results concerning a linear transformation on a space V of matrices, which ...
We study the minimal rank of an infinite upper triangular matrix over a field. We characterize all l...
AbstractIn this paper we classify linear maps preserving commutativity in both directions on the spa...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
AbstractIn this note we consider similarity preserving linear maps on the algebra of all n×n complex...
AbstractLet K be an arbitrary (commutative) field, and V be a linear subspace of Mn(K) such that cod...
AbstractWe characterize the linear operators that preserve the set of sign-nonsingular matrices. We ...
AbstractLet Mm, n(F) denote the set of all m×n matrices over the algebraically closed field F. Let T...
AbstractLet Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a fiel...
Let F be any field and let Tn(F) be the n × n upper triangular matrix space over F. We denote the se...
AbstractIt is proved that a linear transformation on the vector space of upper triangular matrices t...
AbstractIt is proved that a linear transformation on the vector space of upper triangular matrices t...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet F be a field with ∣F∣>2 and Tn(F) be the set of all n×n upper triangular matrices, where...
AbstractWe describe some results concerning a linear transformation on a space V of matrices, which ...
We study the minimal rank of an infinite upper triangular matrix over a field. We characterize all l...
AbstractIn this paper we classify linear maps preserving commutativity in both directions on the spa...
AbstractIn this paper, we obtain several characterizations of rank preserving linear maps and comple...
AbstractIn this note we consider similarity preserving linear maps on the algebra of all n×n complex...
AbstractLet K be an arbitrary (commutative) field, and V be a linear subspace of Mn(K) such that cod...
AbstractWe characterize the linear operators that preserve the set of sign-nonsingular matrices. We ...
AbstractLet Mm, n(F) denote the set of all m×n matrices over the algebraically closed field F. Let T...
AbstractLet Mn and Tn be the vector spaces of n×n matrices and upper triangular matrices over a fiel...
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