Abstract
Sufficient conditions are found for the linear factorization of polynomial operator pencils of arbitrary order in a Banach space. This factorization is generated by the solution of an appropriate operator equation.
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I. V. Goryuk, “On the factorization of a quadratic operator pencil,” Vestnik MGU, Ser. matem., No. 5, 28–35 (1970).
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Translated from Matematicheskie Zametki, Vol. 13, No. 4, pp. 551–559, April, 1973.
The author wishes to express his thanks to A. G. Kostyuchenko for the formulation of the problem.
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Isaev, G.A. The linear factorization of polynomial operator pencils. Mathematical Notes of the Academy of Sciences of the USSR 13, 333–338 (1973). https://doi.org/10.1007/BF01146569
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DOI: https://doi.org/10.1007/BF01146569