This article is cited in 2 papers

The linear factorization of polynomial operator pencils

G. A. Isaev

M. V. Lomonosov Moscow State University

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.

UDC: 513.88

Received: 30.05.1972

 English version: Mathematical Notes, 1973, 13:4, 333–338

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