From trivial spectrum subspaces to spaces of diagonalisable real matrices

DOI10.3318/PRIA.2018.118.02zbMATH Open1404.15015arXiv1606.00381OpenAlexW2962875650MaRDI QIDQ5376428

Clément de Seguins Pazzis

Publication date: 17 September 2018

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Abstract: A recent generalization of Gerstenhaber's theorem on spaces of nilpotent matrices is shown to yield a new proof of the classification of linear subspaces of diagonalizable real matrices with the maximal dimension.

Full work available at URL: https://arxiv.org/abs/1606.00381

zbMATH Keywords

symmetric matricesdiagonalizable matricestrivial spectrum subspaces

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

On matrices whose cosquares are diagonalizable and have real spectra

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