On the dimension of the algebra generated by two positive semi-commuting matrices

DOI10.1016/j.laa.2016.09.027zbMath1353.15016arXiv1603.08413OpenAlexW2962932090MaRDI QIDQ332642

Marko Kandić, Klemen Šivic

Publication date: 8 November 2016

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

Full work available at URL: https://arxiv.org/abs/1603.08413

zbMATH Keywords

idempotentscompanion matrixpermutation matrixpositive matricespositive commutatorJordan blockunital algebraGerstenhaber's theoremideal-reducibilitysemi-commuting matrices

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Positive matrices and their generalizations; cones of matrices (15B48) Commutators, derivations, elementary operators, etc. (47B47) Algebraic systems of matrices (15A30)

Related Items (2)

On algebras generated by positive operators ⋮ On real algebras generated by positive and nonnegative matrices

Cites Work

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• Pairs of Matrices With Property L. II
• Vector bases for two commuting matrices
• A note on commuting pairs of matrices
• On Commutators of Idempotents
• Operator norms of powers of the Volterra operator

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