Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients
| dc.creator | Fulton, William | |
| dc.date | 2002-09-18 | |
| dc.date.accessioned | 2026-07-07T04:51:01Z | |
| dc.date.available | 2026-07-07T04:51:01Z | |
| dc.description | Answering a question raised by S. Friedland, we show that the possible eigenvalues of Hermitian matrices (or compact operators) A, B, and C with C <= A + B are given by the same inequalities as in Klyachko's theorem for the case where C = A + B, except that the equality corresponding to tr(C) = tr(A) + tr(B) is replaced by the inequality corresponding to tr(C) <= tr(A) + tr(B). The possible types of finitely generated torsion modules A, B, and C over a discrete valuation ring such that there is an exact sequence B -> C -> A are characterized by the same inequalities. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209240 | |
| dc.identifier | http://arxiv.org/abs/math/0209240 | |
| dc.identifier | Lin. Alg. Appl. 319 (2000), 23--36 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64998 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients | |
| dc.type | text |