On the radius in Cayley–Dickson algebras

DOI10.1090/proc/12826zbMath1378.17002arXiv1505.01670OpenAlexW2963180962MaRDI QIDQ2944848

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Publication date: 8 September 2015

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

Full work available at URL: https://arxiv.org/abs/1505.01670

zbMATH Keywords

radius of an element in a finite-dimensional power-associative algebrasubnormsGelfand formulaCayley-Dickson algebraspower-associative algebrasstability of subnormsthe power equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Power-associative rings (17A05)

Related Items (2)

Relation graphs of the split-sedenion algebra ⋮ The radius in matrix algebras -- examples and remarks

Cites Work

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• Stable subnorms
• Discontinuous subnorms
• The power equation
• Minimal polynomials and radii of elements in finite-dimensional power-associative algebras
• Stable subnorms on finite-dimensional power-associative algebras
• Stable Subnorms II
• Radii and subnorms on finite-dimensional power-associative algebras
• Power-associative rings

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