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Convexity of generalized numerical range associated with a compact Lie group

Part of: Lie groups Basic linear algebra

Published online by Cambridge University Press:  09 April 2009

Tin-Yau Tam
Tin-Yau Tam
Affiliation:
Department of Mathematics, 218 Parker Hall, Auburn University, AL 36849-5310, USA e-mail: tamtiny@auburn.edu
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Abstract

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Westwick's convexity theorem on the numerical range is generalized in the context of compact connected Lie groups.

Keywords

Numerical rangeconvèitycompact connected Lie groupco-adjoint orbit

MSC classification

Secondary: 15A60: Norms of matrices, numerical range, applications of functional analysis to matrix theory 22E99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 72 , Issue 1 , February 2002 , pp. 57 - 66
Copyright
Copyright © Australian Mathematical Society 2002

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