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Multiple completeness of eigen and associated vectors of some classes of operator-functions analytic in a disk

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Publication:1216616
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DOI10.1007/BF01075659zbMath0303.47018MaRDI QIDQ1216616

G. V. Radzievskij

Publication date: 1973

Published in: Functional Analysis and its Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)


Related Items (4)

Duality in spectral optimization and numerical ranges of a family of self-adjoint operators ⋮ Certain tests for the degree of completeness of the root vectors of operator functions analytic in a sector ⋮ On the problem of completeness of root vectors corresponding to the two spectral series of sheaves of M. V. Keldysh ⋮ Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\)



Cites Work

  • Nonlinear eigenvalue problems


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