Geodesic
Oppenheim's Inequality for the Second Immanant
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 367-369

Voir la notice de l'article provenant de la source Cambridge University Press

Denote by d 2 the immanant afforded by Sn and the character corresponding to the partition (2, 1n-2). If n ≥ 4, the following analog of Oppenheim's inequality is proved: for all n-by-n positive semidefinite hermitian A and B.
DOI : 10.4153/CMB-1987-053-8
Mots-clés : 15A15, 15A57 
Merris, Russell. Oppenheim's Inequality for the Second Immanant. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 367-369. doi: 10.4153/CMB-1987-053-8
@article{10_4153_CMB_1987_053_8,
     author = {Merris, Russell},
     title = {Oppenheim's {Inequality} for the {Second} {Immanant}},
     journal = {Canadian mathematical bulletin},
     pages = {367--369},
     year = {1987},
     volume = {30},
     number = {3},
     doi = {10.4153/CMB-1987-053-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-053-8/}
}
TY  - JOUR
AU  - Merris, Russell
TI  - Oppenheim's Inequality for the Second Immanant
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 367
EP  - 369
VL  - 30
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-053-8/
DO  - 10.4153/CMB-1987-053-8
ID  - 10_4153_CMB_1987_053_8
ER  - 
%0 Journal Article
%A Merris, Russell
%T Oppenheim's Inequality for the Second Immanant
%J Canadian mathematical bulletin
%D 1987
%P 367-369
%V 30
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-053-8/
%R 10.4153/CMB-1987-053-8
%F 10_4153_CMB_1987_053_8

[1] 1. Bapat, R.B. and Sunder, V.S., On majorization and Schur products, Linear Algebra Appl. 72 (1985), pp. 107–117. Google Scholar

[2] 2. Chollet, J., Is there a permanental analogue to Oppenheim s inequality? Amer. Math. Monthly 89 (1982), pp. 57–58. Google Scholar

[3] 3. Grone, R., An inequality for the second immanant, Linear and Multilinear Algebra 18 (1985), pp. 147–152. Google Scholar

[4] 4. Grone, R. and Merris, R., A Fischer inequality for the second immanant, Linear Algebra Appl., 87 (1987), 77-83. Google Scholar

[5] 5. Marshall, A.W. and Olkin, I., Inequalities: Theory of Majorization and Its Applications, Academic Press, New York, 1979. Google Scholar

[6] 6. Merris, R., The second immanantal polynomial and the centroid of a graph, SIAM J. Algebraic and Discrete Methods, 7 (1986), 484-503. Google Scholar

[7] 7. Oppenheim, A., Inequalities connected with definite hermitian forms, J. London Math. Soc. 5 (1930), pp. 114–119. Google Scholar

Cité par Sources :