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Matematicheskie Zametki, 1972, Volume 12, Issue 5, Pages 583–589 (Mi mzm9920)  
The absence of bases from certain separable linear topological spaces

V. P. Kondakov

Rostov State University
Full-text PDF (767 kB)
Abstract: We give examples of separable linear topological spaces without Shauder-type bases. We prove that every linear set $X$ of dimension $\aleph_0< \dim X\leqslant2^2\aleph_0$ can be provided with a separable locally convex topology for which there is no Shauder-type basis.
Received: 23.02.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 5, Pages 787–790
DOI: https://doi.org/10.1007/BF01099066
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: V. P. Kondakov, “The absence of bases from certain separable linear topological spaces”, Mat. Zametki, 12:5 (1972), 583–589; Math. Notes, 12:5 (1972), 787–790
Citation in format AMSBIB
\Bibitem{Kon72}
\by V.~P.~Kondakov
\paper The absence of bases from certain separable linear topological spaces
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 5
\pages 583--589
\mathnet{http://mi.mathnet.ru/mzm9920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=320691}
\zmath{https://zbmath.org/?q=an:0247.46011}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 5
\pages 787--790
\crossref{https://doi.org/10.1007/BF01099066}
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