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Matematicheskie Zametki, 1976, Volume 20, Issue 1, Pages 131–138 (Mi mzm7845)  
The diametral dimension of a Köthe space with a regular basis and its hypersubspaces

V. A. Grachev

Rostov State University
Full-text PDF (460 kB)
Abstract: The existence of Schwartz-Köthe spaces with a regular basis of the same diametral dimension as their hypersubspaces but not isomorphic to them is proved.
Received: 01.04.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 1, Pages 631–635
DOI: https://doi.org/10.1007/BF01152770
Bibliographic databases:
UDC: 51
Language: Russian
Citation: V. A. Grachev, “The diametral dimension of a Köthe space with a regular basis and its hypersubspaces”, Mat. Zametki, 20:1 (1976), 131–138; Math. Notes, 20:1 (1976), 631–635
Citation in format AMSBIB
\Bibitem{Gra76}
\by V.~A.~Grachev
\paper The diametral dimension of a~K\"othe space with a~regular basis and its hypersubspaces
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 1
\pages 131--138
\mathnet{http://mi.mathnet.ru/mzm7845}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=423042}
\zmath{https://zbmath.org/?q=an:0335.46003}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 1
\pages 631--635
\crossref{https://doi.org/10.1007/BF01152770}
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