A model for \(\pi\)-selfadjoint operators in \(\pi _ 1\)-spaces and a special linear pencil

DOI10.1007/BF01199980zbMath0556.47021OpenAlexW1979996798MaRDI QIDQ760892

Peter Jonas, Heinz K. Langer

Publication date: 1985

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199980

zbMATH Keywords

modelJordan chainsupercritical caselinear transport theory\(\pi _ 1\)-spaceeigenvalue problem for the linear pencilpi-selfadjoint operatorPontrjagin space of index onereal eigenvalue of nonpositive type

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Transport processes in time-dependent statistical mechanics (82C70) Linear operators on spaces with an indefinite metric (47B50) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

Instability of singular critical points of definitizable operators ⋮ Models of function type for commutative symmetric operator families in Krein spaces ⋮ Rank one perturbations in a Pontryagin space with one negative square ⋮ Truncations of a class of pseudo-Hermitian tridiagonal matrices

Cites Work

• On exponential representation of analytic functions in the upper half- plane with positive imaginary part
• Some Questions in the Perturbation Theory ofJ-Nonnegative Operators in Krein Spaces
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• A Pontrjagin space analysis of the supercritical transport equation
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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