Stable subnorms

DOI10.1016/S0024-3795(00)00011-2zbMath0997.15021OpenAlexW4205308393MaRDI QIDQ1973920

Moshe Goldberg, Wilhelmus A. J. Luxemburg

Publication date: 13 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00011-2

zbMATH Keywords

stabilitymatrix algebrasquaternionsfinite-dimensional algebraoctavescontinuous subnormsnorms on algebras

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) Algebraic systems of matrices (15A30)

Related Items (7)

On the radius in Cayley–Dickson algebras ⋮ Continuity of seminorms on finite-dimensional vector spaces ⋮ Discontinuous subnorms ⋮ Stable norms --from theory to applications and back ⋮ Radii and subnorms on finite-dimensional power-associative algebras ⋮ Stable Subnorms II ⋮ Minimal polynomials and radii of elements in finite-dimensional power-associative algebras

Cites Work

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• All spectral dominant norms are stable
• Stable norms on complex numbers and quaternions
• Weightedl₁norms for matrices
• Equivalence constants forl_pnorms of matrices
• Stable seminorms revisited

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