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Published August 2009 | public
Journal Article

Muirhead-Rado inequality for compact groups


Muirhead's majorization inequality was extended by Rado to the case of arbitrary permutation groups. We further generalize this inequality to compact groups and their linear representations over the reals. We characterize saturation of the inequality, and describe the saturation condition in detail for the case of actions on Hermitian operators.

Additional Information

© 2009 Springer. Received: 13 September 2007. Accepted: 15 August 2008. Published online: 4 October 2008. Supported in part by the National Science Foundation and the Center for the Mathematics of Information. Thanks to an anonymous referee for comments that improved this paper.

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