Abstract:
This paper describes the class of all topological linear spaces for whose mappings into themselves the theorem on the bounded differentiability of the inverse mapping is valid.
Citation:
O. G. Smolyanov, “The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid”, Mat. Zametki, 17:5 (1975), 703–709; Math. Notes, 17:5 (1975), 418–421
\Bibitem{Smo75}
\by O.~G.~Smolyanov
\paper The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 5
\pages 703--709
\mathnet{http://mi.mathnet.ru/mzm7589}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=402802}
\zmath{https://zbmath.org/?q=an:0329.46049}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 5
\pages 418--421
\crossref{https://doi.org/10.1007/BF01155795}
Linking options:
https://www.mathnet.ru/eng/mzm7589
https://www.mathnet.ru/eng/mzm/v17/i5/p703
This publication is cited in the following 1 articles:
Bogachev V. Smolyanov O., “Topological Vector Spaces and Their Applications”, Topological Vector Spaces and Their Applications, Springer Monographs in Mathematics, Springer, 2017, 1–456