On Similarity and the Diagonal of a Matrix
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Publication:5563411
DOI10.2307/2317264zbMath0175.02403OpenAlexW4253837810MaRDI QIDQ5563411
Publication date: 1969
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2317264
Related Items (39)
Sums of idempotents ⋮ On the Diagonal of an Operator ⋮ On the higher numerical radius and spectral norm ⋮ Every matrix is a linear combination of three idempotents ⋮ Inequalities relating norms invariant under unitary similarities ⋮ A factorization theorem for matrices ⋮ The length problem for a sum of idempotents ⋮ Sums of idempotent matrices ⋮ Diagonals of nilpotent operators ⋮ Eigenvalues of matrices with given block upper triangular part ⋮ Fillmore's theorem for integer matrices ⋮ The c-spectralc-radial and c-convex matrices ⋮ Sum of two strictly n -zero matrices ⋮ Waring problem for matrices over finite fields ⋮ Sums of nilpotent matrices ⋮ A new approach to the Lvov-Kaplansky conjecture through gradings ⋮ Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise ⋮ Linear operators that preserve thec-numerical range or radius of matrices ⋮ Some convexity theorems for matrices ⋮ Brauer's theorem and nonnegative matrices with prescribed diagonal entries ⋮ A note on sums of three square-zero matrices ⋮ Ranks of submatrices and the off-diagonal indices of a square matrix ⋮ In search of convexity: diagonals and numerical ranges ⋮ Products of matrices with prescribed nullities and traces ⋮ Isometries of a generalized numerical radius ⋮ Sums of orthogonal projections ⋮ Limitations on the size of semigroups of matrices ⋮ A quantitative version of the commutator theorem for zero trace matrices ⋮ On sums of idempotent matrices over a field of positive characteristic ⋮ Endomorphisms of free modules as sums of four quadratic endomorphisms ⋮ Fillmore's theorem for matrices over factorial rings ⋮ A note on the structure of matrix ^*-subalgebras with scalar diagonals ⋮ On commutators and invariant subspaces† ⋮ Real parts of quasi-nilpotent operators ⋮ Inverse matrix eigenvalue problems ⋮ The Hilbert–Schmidt version of the commutator theorem for zero trace matrices ⋮ A new proof of Fillmore’s theorem for integer matrices ⋮ Existence of matrices with prescribed entries ⋮ Antidiagonals of matrices in a unitary similarity orbit
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