AbstractLet Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be either the set of all invertible matrices, the set of all unitary matrices, or a multiplicative semigroup containing the singular matrices. Theorem: If φ : An → Mn is a spectrum-preserving multiplicative map, then there exists a matrix R in Mn such that φ(S) = R−1SR for all S in An
summary:Let $M_n$ be the multiplicative semigroup of all $n\times n$ complex matrices, and let $U_n$...
AbstractThe general form of a continuous mapping φ acting on the real vector space of all n × n comp...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
Let Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be either the...
AbstractWe characterize multiplicative maps φ on semigroups of square matrices satisfying φ(P)⊆P for...
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave inva...
AbstractLet T be a continuous map of the space of complex n×n matrices into itself satisfying T(0)=0...
AbstractLet Mn be the semigroup of n×n complex matrices under the usual multiplication, and let S be...
AbstractLet Mn be the algebra of all n×n matrices, and let φ:Mn→Mn be a linear mapping. We say that ...
Let Mn be the set of n × n complex matrices, and for every A ε Mn, let Sp(A) denote the spectrum of ...
Let M n be the semigroup of n × n complex matrices under the usual multiplication, and let S be diff...
AbstractLet x0∈Cn be a nonzero vector. We prove that if a linear map φ:Mn(C)→Mn(C) preserves the loc...
AbstractLet A be an n×n complex-valued matrix, all of whose principal minors are distinct from zero....
AbstractWe characterize multiplicative maps φ on semigroups of square matrices satisfying φ(P)⊆P for...
Let Mn(C) denote the algebra of all n × n complex matrices, and fix a nonzero vector x0 in C n . For...
summary:Let $M_n$ be the multiplicative semigroup of all $n\times n$ complex matrices, and let $U_n$...
AbstractThe general form of a continuous mapping φ acting on the real vector space of all n × n comp...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
Let Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be either the...
AbstractWe characterize multiplicative maps φ on semigroups of square matrices satisfying φ(P)⊆P for...
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave inva...
AbstractLet T be a continuous map of the space of complex n×n matrices into itself satisfying T(0)=0...
AbstractLet Mn be the semigroup of n×n complex matrices under the usual multiplication, and let S be...
AbstractLet Mn be the algebra of all n×n matrices, and let φ:Mn→Mn be a linear mapping. We say that ...
Let Mn be the set of n × n complex matrices, and for every A ε Mn, let Sp(A) denote the spectrum of ...
Let M n be the semigroup of n × n complex matrices under the usual multiplication, and let S be diff...
AbstractLet x0∈Cn be a nonzero vector. We prove that if a linear map φ:Mn(C)→Mn(C) preserves the loc...
AbstractLet A be an n×n complex-valued matrix, all of whose principal minors are distinct from zero....
AbstractWe characterize multiplicative maps φ on semigroups of square matrices satisfying φ(P)⊆P for...
Let Mn(C) denote the algebra of all n × n complex matrices, and fix a nonzero vector x0 in C n . For...
summary:Let $M_n$ be the multiplicative semigroup of all $n\times n$ complex matrices, and let $U_n$...
AbstractThe general form of a continuous mapping φ acting on the real vector space of all n × n comp...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
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