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
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet M be the complex linear space Mn of n × n complex matrices or the real linear space Hn o...
AbstractThe numerical range of an n × n matrix, also known as its field of values, is reformulated a...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractLet Un be the group of the unitary n × n matrices. Let A be a complex n × n matrix and C = d...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
Let A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical ...
Let A and C be square complex matrices of sizen, the C-determinantal range of A is the subset of the...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
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. Then the numerical range of A, W(A), is defined to be {x∗A...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
For n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerica...
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet M be the complex linear space Mn of n × n complex matrices or the real linear space Hn o...
AbstractThe numerical range of an n × n matrix, also known as its field of values, is reformulated a...
AbstractGiven two n × n complex matrices C and T, we prove that if the differentiable mapping q: U(n...
AbstractLet Un be the group of the unitary n × n matrices. Let A be a complex n × n matrix and C = d...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
Let A, C be n x n complex matrices. We prove in the affirmative the conjecture that the C-numerical ...
Let A and C be square complex matrices of sizen, the C-determinantal range of A is the subset of the...
AbstractLet p, q, n be integers satisfying 1 ⩽ p ⩽ q ⩽ n. The (p, q)-numerical range of an n×n compl...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
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. Then the numerical range of A, W(A), is defined to be {x∗A...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
For n × n complex matrices A, C and H, where H is non-singular Hermitian, the Krein space C-numerica...
AbstractLet A = (A1, A2) be a pair of Hermitian operators in Cn and A = A1 + iA2. We investigate cer...
AbstractLet M be the complex linear space Mn of n × n complex matrices or the real linear space Hn o...
AbstractThe numerical range of an n × n matrix, also known as its field of values, is reformulated a...
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