AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n,C) → R2 defined by q(U) = tr(CU∗TU) is of rank at most 1 on a nonempty open set, then the C-numerical range W(C,T) of T is a line segment. The same conclusion holds whenever the interior of W(C,T) is empty
Let A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical ...
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet Cn×n be the linear space of all n × n complex matrices. Suppose 1⩽k⩽n. The generalized k...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
Let M n be the vector space of n×n complex martices and let c=(c 1,...,c n)∈R n. For each A∈M n, the...
AbstractLet Mn be the vector space of n×n complex martices and let c=(c1,…,cn)∈Rn. For each A∈Mn, th...
Abstract. We $co\mathrm{n}$sider the bound$a\mathrm{r}y $ of $C $-numeric$al $ range of a mat$rix $ ...
AbstractLet A be an n×n complex matrix and 0⩽q⩽1. The q-numerical range of A is the set denoted and ...
Abstract. For nn complex matrices A and an nn Hermitian matrix S, we consider the S-numerical range ...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
[[abstract]]Let and denote respectively the space of n×n complex matrices and the real space of n×...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
Let A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical ...
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet Cn×n be the linear space of all n × n complex matrices. Suppose 1⩽k⩽n. The generalized k...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
Let M n be the vector space of n×n complex martices and let c=(c 1,...,c n)∈R n. For each A∈M n, the...
AbstractLet Mn be the vector space of n×n complex martices and let c=(c1,…,cn)∈Rn. For each A∈Mn, th...
Abstract. We $co\mathrm{n}$sider the bound$a\mathrm{r}y $ of $C $-numeric$al $ range of a mat$rix $ ...
AbstractLet A be an n×n complex matrix and 0⩽q⩽1. The q-numerical range of A is the set denoted and ...
Abstract. For nn complex matrices A and an nn Hermitian matrix S, we consider the S-numerical range ...
Let p, q, n be integers satisfying 1 ≤ p ≤ q ≤ n. The (p, q)-numerical range of an n×n complex matri...
[[abstract]]Let and denote respectively the space of n×n complex matrices and the real space of n×...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
Let A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical ...
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet Cn×n be the linear space of all n × n complex matrices. Suppose 1⩽k⩽n. The generalized k...
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