The generalised Brillouin theorem

DOI10.1088/0305-4470/14/6/006zbMath0494.46045OpenAlexW2009105621MaRDI QIDQ3957460

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Publication date: 1981

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/14/6/006

zbMATH Keywords

eigenvectorstationary pointadditive mappingssemidifferentiabilityarcwise connected subsetgeneralised Brillouin theoremRitz-Rayleigh quotient

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

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