@incollection{SB_1997-1998__40__255_0, author = {Fulton, William}, title = {Eigenvalues of sums of hermitian matrices}, booktitle = {S\'eminaire Bourbaki : volume 1997/98, expos\'es 835-849}, series = {Ast\'erisque}, note = {talk:845}, pages = {255--269}, publisher = {Soci\'et\'e math\'ematique de France}, number = {252}, year = {1998}, mrnumber = {1685640}, zbl = {0929.15006}, language = {en}, url = {http://www.numdam.org/item/SB_1997-1998__40__255_0/} }
TY - CHAP AU - Fulton, William TI - Eigenvalues of sums of hermitian matrices BT - Séminaire Bourbaki : volume 1997/98, exposés 835-849 AU - Collectif T3 - Astérisque N1 - talk:845 PY - 1998 SP - 255 EP - 269 IS - 252 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1997-1998__40__255_0/ LA - en ID - SB_1997-1998__40__255_0 ER -
%0 Book Section %A Fulton, William %T Eigenvalues of sums of hermitian matrices %B Séminaire Bourbaki : volume 1997/98, exposés 835-849 %A Collectif %S Astérisque %Z talk:845 %D 1998 %P 255-269 %N 252 %I Société mathématique de France %U http://www.numdam.org/item/SB_1997-1998__40__255_0/ %G en %F SB_1997-1998__40__255_0
Fulton, William. Eigenvalues of sums of hermitian matrices, dans Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 845, 15 p. http://www.numdam.org/item/SB_1997-1998__40__255_0/
[A-W] Eigenvalues of products of unitary matrices and quantum Schubert calculus, preprint, alg-geom/9712013. | DOI | MR | Zbl
and -[AM] Extreme properties of eigenvalues of a Hermitian transformation and singular values of the sum and product of linear transformations, Duke Math. J. 23 (1966), 463-476. | MR | Zbl
-[B] Local systems on P1 \ S for S a finite set preprint1998. | MR
[B-G] Some remarks on spherical functions on symmetric Riemannian manifolds, Amer. Math. Soc. Transl. 21 (1962), 193- 238. | MR | Zbl
and -[B-C-F] Quantum multiplication of Schur polynomials, preprint, alg-geom/9705024. | DOI | MR | Zbl
, and -[F] Young Tableaux, Cambridge University Press, 1997. | MR | Zbl
-[H-K] Polygon spaces and Grassmannians, l'Ens. Math. 43 (1997), 173-198. | MR | Zbl
and -[H-R] Eigenvalue inequalities and Schubert calculus, Math. Nachr. 171 (1995), 207-225. | DOI | MR | Zbl
and -[H-Z] Évaluations par défaut pour une somme quelconque de valeurs propres γk d'un opérateur C = A + B à l'aide de valeurs propres αi de A et βj de B, C. R. Acad. Sc. Paris 254 (1962), 1559-1561. | MR | Zbl
and -[H] Eigenvalues of sums of Hermitian matrices, Pacific J. Math. 12 (1962), 225-241. | DOI | Zbl
-[J] The Schubert calculus and eigenvalues inequalities for sums of Hermitian matrices, Thesis, University of California at Santa Barbara, 1979.
-[K-M] The symplectic geometry of polygons in Euclidean space, J. Diff. Geom. 44 (1996), 479-513. | DOI | Zbl
and -[K] Stable bundles, representation theory and Hermitian operators, Institute Mittag-Leffler Preprint, 1996-97; earlier version, University of Marne-La Vallée, 1994. | Zbl
-[L1] The proper values of the sum and product of symmetric matrices (in Russian), Dokl. Akad. Nauk SSSR 74 (1950), 769-772 (in Russian).
-[L2] Spectral polyhedron of the sum of two Hermitian matrices, Funct. Anal. Appl. 16 (1982), 139-140. | DOI | Zbl
-[Mac] Symmetric Functions and Hall Polynomials, Oxford Science Publications, 1979, 1995. | Zbl
-[M-O] Inequalities: Theory of Majorization and its Applications, Academic Press, 1979. | Zbl
and -[M-S] Moduli of vector bundles on curves with parabolic structure, Math. Ann. 248 (1980), 205-239. | DOI | EuDML | Zbl
and -[M-F-K] Geometric Invariant Theory, Springer-Verlag, 1965, 1982, 1994. | DOI | Zbl
, and ,[Thi] Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions, Lin. Alg. Appl. 218 (1995), 113-145. | DOI | Zbl
-[T] Divisibility relations satisfied by the invariant factors of a matrix product, Operator Theory: Adv. Appl. 40 (1989), 471-491. | Zbl
-[T-F] On the eigenvalues of a sum of Hermitian matrices, Lin. Alg. Appl. 4 (1971), 369-376. | DOI | Zbl
and -[We] Das asymtotische Verteilungsgesetz der Eigenwerte lineare partieller Differential gleichungen, Math. Ann. 71 (1912), 441-479. | DOI | EuDML | JFM
-[Wi] An extremum property of sums of eigenvalues, Proc. Amer. Math. Soc. 6 (1955), 106-110. | DOI | Zbl
-[Z] Littlewood-Richardson semigroups, MSRI Preprint 1997-044. | Zbl
-[Zw] Über die Eigenwerte der Summe zweier selbstadjungierter Operaten Comm. Math. Helv. 40 (1965), 81-116. | DOI | EuDML | Zbl
-