AbstractIt is shown that if a linear transformation T on the space of n-square symmetric matrices over any subfield of the real field preserves the permanent, where n ⩾ 3, then T(A)= ± PAPt for all symmetric matrices A and a fixed generalized permutation matrix P with per P= ± 1
AbstractWe characterize the linear transformations on matrices that preserve the immanants, i.e., dχ...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet S denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n sy...
AbstractIt is shown that if a linear transformation T on the space of n-square symmetric matrices ov...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
The permanent of an n-square matrix [a..] is defined to be £ n a, 0"€S i = l 1 J i where a = &l...
AbstractIt is shown that if a linear transformation T on the space of n × n complex matrices maps no...
AbstractA characterization is given of those n×n real matrices A which satisfy En−1(PA) = En−1(A) fo...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractLet F be an arbitrary subfield of the complex numbers, and let Hn(F) be the space of the n ×...
AbstractLet Mm, n(F) denote the set of all m×n matrices over the algebraically closed field F. Let T...
Abstract3or any N × N symmetric real matrix W, the subspaces of RN which are invariant under πTWπ fo...
AbstractIf φ is a nonsingular linear operator on n × n symmetric matrices over a formally real field...
AbstractLet A denote a decomposable symmetric complex valued n-linear function on Cm. We prove ‖A·A‖...
[[abstract]]Let denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n...
AbstractWe characterize the linear transformations on matrices that preserve the immanants, i.e., dχ...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet S denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n sy...
AbstractIt is shown that if a linear transformation T on the space of n-square symmetric matrices ov...
AbstractIt is shown that if a nonsingular linear transformation T on the space of n-square real symm...
The permanent of an n-square matrix [a..] is defined to be £ n a, 0"€S i = l 1 J i where a = &l...
AbstractIt is shown that if a linear transformation T on the space of n × n complex matrices maps no...
AbstractA characterization is given of those n×n real matrices A which satisfy En−1(PA) = En−1(A) fo...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractLet F be an arbitrary subfield of the complex numbers, and let Hn(F) be the space of the n ×...
AbstractLet Mm, n(F) denote the set of all m×n matrices over the algebraically closed field F. Let T...
Abstract3or any N × N symmetric real matrix W, the subspaces of RN which are invariant under πTWπ fo...
AbstractIf φ is a nonsingular linear operator on n × n symmetric matrices over a formally real field...
AbstractLet A denote a decomposable symmetric complex valued n-linear function on Cm. We prove ‖A·A‖...
[[abstract]]Let denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n...
AbstractWe characterize the linear transformations on matrices that preserve the immanants, i.e., dχ...
AbstractLet U denote either the vector space of n×n matrices or the vector space of n×n symmetric ma...
AbstractLet S denote either the set of n×n symmetric doubly stochastic matrices or the set of n×n sy...
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