An Infinite Dimensional Version of the Schur-Horn Convexity Theorem

Journal of Functional Analysis

Volumn 161, Issue 2, 1999, Pages 418-451

  Neumann, Andreas ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006491229     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1998.3348     Document Type: Article

References (7)

1. A. M. Bloch, H. Flaschka, and T. Ratiu, A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus, Invent. Math. 113 (1993), 511-529.
2. G. H. Hardy, J. E. Littlewood, and G. Polya, "Inequalities," Cambridge Univ. Press, Cambridge, UK, 1952.
3. J. Hilgert, K.-H. Neeb, and W. Plank, Symplectic convexity theorems and coadjoint orbits, Comp. Math. 94 (1994), 129-180.
4. A. Horn, Doubly stochastic matrices and the diagonal of a rotation matrix, J. Math. 76 (1954), 620-630.
5. B. Kostant, On convexity, the weyl group and the iwasawa decomposition, Ann. Sci. Ecole Norm. Sup. 6 (1973), 413-455.
6. G. Olafsson, causal symmetric spaces, Math. Goettingensis 15 (1990), preprint.
7. I. Schur, Über eine Klasse von Mittelbildungen mit Anwendungen auf die Determinantentheorie, Sitzungsber. Berliner Math. Ges. 22 (1923), 9-29.