Add to ORKGThis paper is dedicated to Professor Tsuyoshi Ando Abstract. Let H: Mm → Mm be a holomorphic function of the algebra Mm of complex m×m matrices. Suppose that H is orthogonally additive and orthogonally multiplicative on self-adjoint elements. We show that either the range of H consists of zero trace elements, or there is a scalar sequence {λn} and an invertible S in Mm such that H(x) = n≥1 λn
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave inva...
AbstractLet Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be ei...
It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x...
Let H: Mm → Mm be a holomorphic function of the algebra Mm of complex m×m matrices. Suppose that H i...
AbstractThe complex orthogonal group O(n) acts on the n×n matrices, Mn, by restricting the adjoint a...
Abstract. Any associative bilinear multiplication on the set of n-by-n ma-trices over some field of ...
Let 1 ≤ m ≤ n, and let χ: H → C be a degree 1 character on a subgroup H of the symmetric group of de...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Let φ{symbol}be a positive linear functional on the algebra of n × n complex matrices and p be a num...
AbstractLet 1⩽m⩽n, and let χ:H→C be a degree 1 character on a subgroup H of the symmetric group of d...
We study holomorphic maps between C * -algebras A and B, when f: BA (0, ρ) → B is a holomorphic mapp...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
AbstractLet ϕbe a positive linear functional on the algebra of n×n complex matrices and p be a numbe...
Abstract. In this paper, we establish a quadrature formula and some basic properties of the zeros of...
AbstractLet n, m be positive integers, H a subgroup of the symmetric group of degree m, and χ:H→C a ...
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave inva...
AbstractLet Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be ei...
It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x...
Let H: Mm → Mm be a holomorphic function of the algebra Mm of complex m×m matrices. Suppose that H i...
AbstractThe complex orthogonal group O(n) acts on the n×n matrices, Mn, by restricting the adjoint a...
Abstract. Any associative bilinear multiplication on the set of n-by-n ma-trices over some field of ...
Let 1 ≤ m ≤ n, and let χ: H → C be a degree 1 character on a subgroup H of the symmetric group of de...
AbstractIf A and B are matrices such that ||A + zB|| ⩾ ||A|| for all complex numbers z, then A is sa...
Let φ{symbol}be a positive linear functional on the algebra of n × n complex matrices and p be a num...
AbstractLet 1⩽m⩽n, and let χ:H→C be a degree 1 character on a subgroup H of the symmetric group of d...
We study holomorphic maps between C * -algebras A and B, when f: BA (0, ρ) → B is a holomorphic mapp...
Abstract: In this paper we study sequences of vector orthogonal polynomials. The vector orthogonalit...
AbstractLet ϕbe a positive linear functional on the algebra of n×n complex matrices and p be a numbe...
Abstract. In this paper, we establish a quadrature formula and some basic properties of the zeros of...
AbstractLet n, m be positive integers, H a subgroup of the symmetric group of degree m, and χ:H→C a ...
Abstract. Descriptions are given of multiplicative maps on complex and real matrices that leave inva...
AbstractLet Mn denote the set of all n×n matrices over the complex numbers (n≥ 2). Let An ⊆ Mn be ei...
It is known that all k-homogeneous orthogonally additive polynomials P over C(K) are of the form P(x...