The diametral dimension of a Köthe space with a regular basis and its hypersubspaces

V. A. Grachev

Rostov State University

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.

UDC: 51

Received: 01.04.1975

 English version: Mathematical Notes, 1976, 20:1, 631–635

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