The upper numerical range of a quaternionic matrix is not a complex numerical range

DOI10.1016/S0024-3795(97)81634-5zbMath0880.15032WikidataQ126819500 ScholiaQ126819500MaRDI QIDQ677895

Robert C. Thompson

Publication date: 8 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

numerical rangeconvexityquaternionic matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

Numerical ranges and Geršgorin discs ⋮ A note on convexity of sections of quaternionic numerical range ⋮ On the boundedness of quaternionic numerical ranges with respect to nonstandard involutions ⋮ A bridge between quaternionic and complex numerical ranges ⋮ Condition for the numerical range to contain an elliptic disc

Cites Work

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• C-numerical ranges andC-numerical radii
• The numerical range of normal matrices with quaternion entries
• A short proof of a theorem on the numerical range of a normal quaternionic matrix
• Über den Wertevorrat einer Matrix

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