Some counterexamples for Cayley-Hamilton theorem for doubly infinite matrices

DOI10.1007/s40840-019-00873-yzbMath1468.15013OpenAlexW2995575083WikidataQ124814450 ScholiaQ124814450MaRDI QIDQ2006671

Roksana Słowik

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00873-y

zbMATH Keywords

Cayley-Hamilton theoremcharacteristic polynomialdoubly infinite matrixperiodic matrixLaurent matrix

Mathematics Subject Classification ID

Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• A generalized Cayley-Hamilton theorem for polynomials with matrix coefficients
• Cayley-Hamilton theorem for \(2\times 2\) matrices over the Grassmann algebra
• Representation of doubly infinite matrices as non-commutative Laurent series
• New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings

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