Basis property of subsystems of eigen- and associated vectors of a selfadjoint operator pencil

DOI10.1007/BF01077994zbMath0719.47007OpenAlexW2050123961MaRDI QIDQ2640113

Alexander Markus, Vladimir Matsaev

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01077994

zbMATH Keywords

factorizationKrein pencilsystem of eigenvectors of an operator function

Mathematics Subject Classification ID

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

Related Items (4)

On causal structure of homogeneous Lorentzian manifolds ⋮ Newton polytopes, increments, and roots of systems of matrix functions for finite-dimensional representations ⋮ Methods of investigation of the causal structures of homogeneous Lorentz manifolds ⋮ Two orbits: when is one in the closure of the other?

Cites Work

• The spectral properties of a certain class of self-adjoint operator functions
• Geometry of bifurcation diagrams of simple projections onto the line
• A class of nonlinear eigenvalue problems

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