Polynomials in a matrix and its commutant

DOI10.1016/0024-3795(82)90115-XzbMath0505.15008MaRDI QIDQ1835969

John A. R. Holbrook

Publication date: 1982

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

zbMATH Keywords

polynomial approximationnormsnumerical radiuscommuting transformationscommutant of a matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

Fundamental Agler decompositions ⋮ Some thoughts on Gerstenhaber's theorem ⋮ Approximating commuting operators ⋮ Distinguished varieties ⋮ A variety of commuting triples

Cites Work

• The numerical range of a product. II
• Unitarily Invariant Operator Norms
• Operator Radii of Commuting Products
• Multiplicative properties of the numerical radius in operator theory.
• Difference schemes for hyperbolic equations with high order of accuracy
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