AbstractWe characterise the set of all linear mappings on the algebra of all n × n matrices that preserve diagonalisable matrices. Our result is an extension of the famous Motzkin-Taussky's result on the simultaneous diagonalisability of a linear space of diagonalisable matrices
AbstractSuppose M is an n × n (n ⩾ 2) matrix algebra over a C∗-algebra U, and B is a C∗-algebra. If ...
AbstractIf K is an algebraic function field in one variable over an algebraically closed field k, th...
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...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
AbstractUsing a recent result of Bogdanov and Guterman on the linear preservers of pairs of simultan...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet M (n,K) be the algebra of n × n matrices over an algebraically closed field K and T:M (n...
AbstractWe determine all similarity preserving linear maps on the space of n x n complex matrices an...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet k be an algebraically closed field, and let X be a projective variety over k. Let A be a...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractLet Tn(F) denote the vector space of all n × n upper triangular matrices over a field F. We ...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
AbstractSuppose M is an n × n (n ⩾ 2) matrix algebra over a C∗-algebra U, and B is a C∗-algebra. If ...
AbstractIf K is an algebraic function field in one variable over an algebraically closed field k, th...
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...
AbstractThis paper is concerned with linear maps L on n X n matrices such that (i) L(Ak) = L(A)k for...
AbstractUsing a recent result of Bogdanov and Guterman on the linear preservers of pairs of simultan...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet M (n,K) be the algebra of n × n matrices over an algebraically closed field K and T:M (n...
AbstractWe determine all similarity preserving linear maps on the space of n x n complex matrices an...
The classification of preservers began about 100 years ago. In 1897, Frobenius characterized the lin...
AbstractLet k be an algebraically closed field, and let X be a projective variety over k. Let A be a...
AbstractCommutativity-preserving maps on the real space of all real symmetric or complex self-adjoin...
AbstractLet Tn(F) denote the vector space of all n × n upper triangular matrices over a field F. We ...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
The problem of determining the structure of linear transformations on the algebra of n-square matric...
AbstractSuppose M is an n × n (n ⩾ 2) matrix algebra over a C∗-algebra U, and B is a C∗-algebra. If ...
AbstractIf K is an algebraic function field in one variable over an algebraically closed field k, th...
Preserver problems on matrices concern the characterization of linear or nonlinear maps or operators...
DOI
Add to ORKG