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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 329–334 (Mi mzm6939)  
Basis sequences in a Montel space

L. E. Lerer

V. I. Lenin Kishinev State University
Full-text PDF (496 kB)
Abstract: We establish the following theorem: for a Frechet space $E$ to be a Montel space it is necessary and sufficient that any basis sequence in $E$ contains an absolute basis subsequence that spans a non-normable space.
Received: 10.06.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 3, Pages 653–656
DOI: https://doi.org/10.1007/BF01119686
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: L. E. Lerer, “Basis sequences in a Montel space”, Mat. Zametki, 6:3 (1969), 329–334; Math. Notes, 6:3 (1969), 653–656
Citation in format AMSBIB
\Bibitem{Ler69}
\by L.~E.~Lerer
\paper Basis sequences in a~Montel space
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 3
\pages 329--334
\mathnet{http://mi.mathnet.ru/mzm6939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=259551}
\zmath{https://zbmath.org/?q=an:0192.48901}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 3
\pages 653--656
\crossref{https://doi.org/10.1007/BF01119686}
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