Properties (DN(φ, ψ)) and (Ω (φ, ψ)) for Fréchet spaces
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Tài liệu tham khảo
R. S. Hamilton, The inverse function theorem of Nash and Moser. Bull. Amer. Math. Soc.7, 65–222 (1982).
L.Hörmander, The Analysis of Linear Partial Differential Operators I. Grundlehren der mathematischen Wissensch.256, Berlin-Heidelberg-New York-Tokyo 1983.
M. Poppenberg, Characterization of the subspaces of (s) in the tame category. Arch. Math.54, 274–283 (1990).
M. Poppenberg, Characterization of the quotient spaces of (s) in the tame category. Math. Nachr.150, 127–141 (1991).
M.Poppenberg, Der Satz über Inverse Funktionen in einigen Klassen von Frecheträumen, Habilitationsschrift, Dortmund 1994.
M. Poppenberg andD. Vogt, A Tarne Splitting Theorem for Exact Sequences of Fréchet Spaces. Math. Z.219, 141–161 (1995).
D. Vogt, Subspaces and quotient spaces of (s). In: Functional Analysis: Surveys and Recent Results, North-Holland Math. Stud.27, 167–187 (1977).
D.Vogt, Interpolation of nuclear operators and a splitting theorem for exact sequences of Fréchet spaces. Preprint.
D.Vogt, Tame splitting pairs. Preprint.