The problem of the completeness of root vectors in the spectral theory of operator-valued functions

DOI10.1070/RM1982v037n02ABEH003940zbMath0524.47009MaRDI QIDQ3038075

G. V. Radzievskij

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemeigenvectorscharacteristic numberssystem of ordinary differential equationscompleteness of root vectorsanalytic operator functionselementary initial conditionsspectral theory of operator-valued functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear ordinary differential equations and systems (34A30) Equations and inequalities involving linear operators, with vector unknowns (47A50) Structure theory of linear operators (47A65)

Related Items (7)

Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ The scalar product in two-particle relativistic quantum mechanics ⋮ On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Unnamed Item ⋮ On the completeness of root vectors of a certain class of differential operators ⋮ Eigenwaves in waveguides with dielectric inclusions: spectrum ⋮ Unnamed Item

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