Abstract
In 1970 Studia Mathematica published unsolved problems posed by some of the most distinguished mathematicians. Pelczynski asked, whether complemented subspaces of a nuclear Fréchet space with basis have a basis [18]. In view of Dynin-Mitiagin’s absolute basis theorem [19] this problem is equivalent to the question, whether complemented subspaces of nuclear Köthe spaces are again Köthe spaces.
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© 1989 Kluwer Academic Publishers
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Krone, J. (1989). On Pelczynski’s Problem. In: Terzioñlu, T. (eds) Advances in the Theory of Fréchet Spaces. NATO ASI Series, vol 287. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2456-7_19
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DOI: https://doi.org/10.1007/978-94-009-2456-7_19
Publisher Name: Springer, Dordrecht
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