AbstractLet K be a field of characteristic not two or three with an automorphism − of order two. Let F={a∈K:a¯=a}. We characterize additive mappings T from one F-vector space of Hermitian matrices over K to another that preserve rank less than or equal to one for the following cases: (i) the image of T contains a matrix of rank at least three, (ii) every nonzero endomorphism of F is surjective
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F, and let Kn2(F) b...
AbstractLet σ be a fixed non-identical permutation on k elements. Additive bijections T on the matri...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F. An operator f : ...
AbstractLet K be a field of characteristic not two or three with an automorphism − of order two. Let...
AbstractAdditive mappings, which do not increase the minimal rank of symmetric matrices are classifi...
AbstractIn this note we describe those additive mappings from a second symmetric product space to an...
AbstractLet F be a field. Let V denote the vector space of all m×n matrices over F or the vector spa...
AbstractLet m, n and k be positive integers such that 2⩽k<n⩽m. Let V denote either the vector space ...
AbstractLet F be a field. Let V denote the vector space of all m×n matrices over F or the vector spa...
AbstractWe characterize additive rank-one preserving surjections on symmetric matrix spaces over a f...
AbstractKuzma characterized additive mappings on the space of all finite rank bounded linear operato...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F, and let Kn2(F) b...
AbstractIn this note, we address a description of the general form of additive rank-one preservers o...
AbstractLet B(X) be the algebra of bounded operators on a real or complex Banach space X, and F(X) a...
AbstractLet A be a local matrix algebra over a field of characteristic different from 2, B an arbitr...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F, and let Kn2(F) b...
AbstractLet σ be a fixed non-identical permutation on k elements. Additive bijections T on the matri...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F. An operator f : ...
AbstractLet K be a field of characteristic not two or three with an automorphism − of order two. Let...
AbstractAdditive mappings, which do not increase the minimal rank of symmetric matrices are classifi...
AbstractIn this note we describe those additive mappings from a second symmetric product space to an...
AbstractLet F be a field. Let V denote the vector space of all m×n matrices over F or the vector spa...
AbstractLet m, n and k be positive integers such that 2⩽k<n⩽m. Let V denote either the vector space ...
AbstractLet F be a field. Let V denote the vector space of all m×n matrices over F or the vector spa...
AbstractWe characterize additive rank-one preserving surjections on symmetric matrix spaces over a f...
AbstractKuzma characterized additive mappings on the space of all finite rank bounded linear operato...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F, and let Kn2(F) b...
AbstractIn this note, we address a description of the general form of additive rank-one preservers o...
AbstractLet B(X) be the algebra of bounded operators on a real or complex Banach space X, and F(X) a...
AbstractLet A be a local matrix algebra over a field of characteristic different from 2, B an arbitr...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F, and let Kn2(F) b...
AbstractLet σ be a fixed non-identical permutation on k elements. Additive bijections T on the matri...
AbstractLet Kn(F) be the linear space of all n×n alternate matrices over a field F. An operator f : ...
DOI
Add to ORKG