Geodesic
The Cayley--Hamilton theorem and resolvent representation
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 4, pp. 130-132

Voir la notice de l'article provenant de la source Math-Net.Ru

For the Frobenius matrix accompanying an algebraic (differential) equation in a complex Banach algebra, the Cayley–Hamilton theorem is proved, which is used to obtain a representation of the resolvent.
Keywords: complex Banach algebra, algebraic and differential equations, resolvent, accompanying Frobenius matrix, Cayley–Hamilton theorem. 
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     author = {I. D. Kostrub},
     title = {The {Cayley--Hamilton} theorem and resolvent representation},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_4_a9/}
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I. D. Kostrub. The Cayley--Hamilton theorem and resolvent representation. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 4, pp. 130-132. http://geodesic.mathdoc.fr/item/FAA_2023_57_4_a9/