ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL

DOI10.1070/SM1988v061n02ABEH003208zbMath0677.47008OpenAlexW2040283848MaRDI QIDQ3833084

Alexander Markus, Vladimir Matsaev

Publication date: 1988

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1988v061n02abeh003208

zbMATH Keywords

Riesz basisselfadjoint compact operatorseigenfunction expansionspencilslocal classificationdensity of some spaces of eigenvectorsexistence of a factorizationfirst and secondary systems of eigenspacesselfadjoint quadratic bundles

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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