Convexity of generalized numerical range associated with a compact Lie group

DOI10.1017/S144678870000358XzbMath1007.15021WikidataQ115335620 ScholiaQ115335620MaRDI QIDQ4534462

Tin-Yau Tam

Publication date: 12 March 2003

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

numerical rangeconvexityLie algebrasymplectic manifoldscompact connected Lie groupco-adjoint orbit

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Lie algebras of Lie groups (22E60)

Related Items

Product of two diagonal entries of a 3-by-3 normal matrix, The boundary of the Krein space tracial numerical range, an algebraic approach and a numerical algorithm, Pre-order between diagonal elements and singular values of real matrices, A range associated with skew symmetric matrix, Connectedness of some fibres on a compact connected Lie group

Cites Work

• Convexity properties of the moment mapping
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Convexity properties of the moment mapping. II
• Convexity properties of the moment mapping. III
• An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
• Applications of the Theory of Morse to Symmetric Spaces
• Some theorems on the generalized numerical ranges
• Another proof of a result of Westwick
• Convexity and Commuting Hamiltonians
• A theorem on numerical range
• C-numerical ranges andC-numerical radii
• Kostant's convexity theorem and the compact classical groups
• Lie groups beyond an introduction
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