Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\)

DOI10.1007/BF01057530zbMath0688.47009OpenAlexW2080565164MaRDI QIDQ1263800

G. V. Radzievskij

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01057530

zbMATH Keywords

root vectors of a polynomial operator pencil

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Cites Work

• Multiple completeness of eigen and associated vectors of some classes of operator-functions analytic in a disk
• Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function \(s(\lambda)\) with \(S(\infty)=0\)
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