G-Self-adjoint Operators in Almost Pontryagin Spaces

DOI10.1007/978-3-7643-8911-6_11zbMath1179.47037OpenAlexW131907297MaRDI QIDQ3613528

Friedrich Philipp, Carsten Trunk

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8911-6_11

zbMATH Keywords

indefinite inner productKlein-Gordon equationspectral functionselfadjointnessalmost Pontrjagin space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)

Related Items (4)

Reproducing kernel almost Pontryagin spaces ⋮ Selfadjoint operators in S-spaces ⋮ Sums, couplings, and completions of almost Pontryagin spaces ⋮ Hyponormal and strongly hyponormal matrices in inner product spaces

Cites Work

• Spectral theory of the Klein-Gordon equation in Pontryagin spaces
• The Krein formula for generalized resolvents in degenerated inner product spaces
• Locally definite operators in indefinite inner product spaces
• Selfadjoint extensions of symmetric operators in degenerated inner product spaces
• The functional calculus for sectorial operators
• Eigenvalues of the Klein-Gordon equation
• Localization of the critical points of Klein-Gordon type operators
• An Operator Theoretic Approach to Degenerated Nevanlinna‐Pick Interpolation
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