Some Counterexamples for Cayley–Hamilton Theorem for Doubly Infinite Matrices
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40840-019-00873-y.pdf
Reference6 articles.
1. Arenas-Herrera, M.I., Verde-Star, L.: Representation of doubly infinite matrices as non-commutative Laurent series. Spec. Matrices 5, 250–257 (2017)
2. Domokos, M.: Cayley–Hamilton theorem for $$2\times 2$$ matrices over the Grassmann algebra. J. Pure Appl. Algebra 133, 69–81 (1998)
3. Hwang, S.-G.: A generalized Cayley–Hamilton theorem for polynomials with matrix coefficients. Linear Algebra Appl. 434, 475–479 (2011)
4. Simon, B.: A Cayley–Hamilton theorem for periodic finite band matrices. Functional Analysis and Operator Theory for Quantum Physics, pp. 525–529. European Mathematical Society Publishing House, Zurich (2017)
5. Szigeti, J.: New determinants and the Cayley–Hamilton theorem for matrices over Lie nilpotent rings. Proc. Amer. Math. Soc. 125, 2245–2254 (1997)
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