AbstractIn this short note we present two simple necessary and sufficient conditions under which a matrix is normal
AbstractLet A and à be two n × n normal matrices with spectra {λ} and {λj}. Then by the Hoffman-Wie...
AbstractIn hopes that it will be useful to a wide audience, a long list of conditions on an n-by-n c...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
We study various conditions on matrices B and C under which they can be the off-diagonal blocks of a...
We study various conditions on matrices B and C under which they can be the off-diagonal blocks of a...
AbstractIn hopes that it will be useful to a wide audience, a long list of conditions on an n-by-n c...
AbstractIt is shown that the real algebra generated by a pair A,B of n × n (complex) matrices consis...
AbstractWhen can an (n-k)×(n-k) normal matrix B be imbedded in an n×n normal matrix A? This question...
AbstractThe normal Hankel problem is the one of characterizing the matrices that are normal and Hank...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
Elsner L, Ikramov KD. Normal matrices: an update. Linear Algebra and its Applications. 1998;285(1-3)...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
An n-by-n matrix is called almost normal if the maximal cardinality of a set of orthogonal eigenvect...
AbstractA sharp upper bound is obtained for ∥A+iB∥, where A and B are n×n Hermitian matrices satisfy...
AbstractA list of seventy conditions on an n × n complex matrix A, equivalent to its being normal, p...
AbstractLet A and à be two n × n normal matrices with spectra {λ} and {λj}. Then by the Hoffman-Wie...
AbstractIn hopes that it will be useful to a wide audience, a long list of conditions on an n-by-n c...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
We study various conditions on matrices B and C under which they can be the off-diagonal blocks of a...
We study various conditions on matrices B and C under which they can be the off-diagonal blocks of a...
AbstractIn hopes that it will be useful to a wide audience, a long list of conditions on an n-by-n c...
AbstractIt is shown that the real algebra generated by a pair A,B of n × n (complex) matrices consis...
AbstractWhen can an (n-k)×(n-k) normal matrix B be imbedded in an n×n normal matrix A? This question...
AbstractThe normal Hankel problem is the one of characterizing the matrices that are normal and Hank...
AbstractLet A1,…,Ak be n×n matrices. We studied inequalities and equalities involving eigenvalues, d...
Elsner L, Ikramov KD. Normal matrices: an update. Linear Algebra and its Applications. 1998;285(1-3)...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
An n-by-n matrix is called almost normal if the maximal cardinality of a set of orthogonal eigenvect...
AbstractA sharp upper bound is obtained for ∥A+iB∥, where A and B are n×n Hermitian matrices satisfy...
AbstractA list of seventy conditions on an n × n complex matrix A, equivalent to its being normal, p...
AbstractLet A and à be two n × n normal matrices with spectra {λ} and {λj}. Then by the Hoffman-Wie...
AbstractIn hopes that it will be useful to a wide audience, a long list of conditions on an n-by-n c...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...