The diametral dimension of a~K\"othe space with a~regular basis and its hypersubspaces
Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 131-138.

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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.
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     title = {The diametral dimension of {a~K\"othe} space with a~regular basis and its hypersubspaces},
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V. A. Grachev. The diametral dimension of a~K\"othe space with a~regular basis and its hypersubspaces. Matematičeskie zametki, Tome 20 (1976) no. 1, pp. 131-138. http://geodesic.mathdoc.fr/item/MZM_1976_20_1_a13/