References
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.
K. Nyberg, A tame splitting Theorem for Köthe spaces. Arch. Math.52, 471–481 (1989).
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, Charakterisierung der Unterräume vons. Math. Z.155, 109–117 (1977).
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.
D. Vogt, On two classes of (F)-spaces. Arch. Math.45, 255–266 (1985).
D. Vogt andM. J. Wagner, Charakterisierung der Quotientenräume vons und eine Vermutung von Martineau. Studia Math.67, 225–240 (1980).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Poppenberg, M. Properties (DN(φ, ψ)) and (Ω (φ, ψ)) for Fréchet spaces. Arch. Math 66, 388–396 (1996). https://doi.org/10.1007/BF01781557
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01781557