The local determination of Jordan bases for H-self-adjoint operators

DOI10.1016/0024-3795(82)90107-0zbMath0501.15008OpenAlexW1967134367MaRDI QIDQ1172123

M. V. Pattabhiraman, Peter Lancaster

Publication date: 1982

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90107-0

zbMATH Keywords

spectrumfinite dimensional Hilbert spaceroot subspacesindefinite scalar productsH- self-adjointinvertible self-adjoint operatorJordan basesRiesz-projector

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Operator equations and nonlinear eigenparameter problems

Cites Work

• Spectral analysis of selfadjoint matrix polynomials
• Zur Theorie der λ-Matrizen
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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