Geodesic
On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil
Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 289-307 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $L(\lambda)=A+\lambda I+\lambda^2B$ be a quadratic pencil, where $A$ and $B$ are compact selfadjoint operators on a separable Hilbert space $\mathfrak H$. Two subsystems of eigenvectors and associated vectors are constructed for the pencil $L(\lambda)$, each of them forming a Riesz basis for $\mathfrak H$. Bibliography: 24 titles. 
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A. S. Markus; V. I. Matsaev. On the basis property for a certain part of the eigenvectors and associated vectors of a selfadjoint operator pencil. Sbornik. Mathematics, Tome 61 (1988) no. 2, pp. 289-307. http://geodesic.mathdoc.fr/item/SM_1988_61_2_a1/

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