Köthe spaces modeled on spaces of $C^∞$ functions

Mefharet Kocatepe; Viacheslav Zahariuta

ArticleOriginal scientific text

Title

Köthe spaces modeled on spaces of $C^{\infty}$ functions

Authors ¹, ^2,³

Affiliations

Department of Mathematics, Bilkent University, 06533 Bilkent, Ankara, Turkey
Rostov State University, Rostov-na-Donu, Russia
TÜBİTAK Marmara Research Center, 41470 Gebze, Kocaeli, Turkey

Abstract

The isomorphic classification problem for the Köthe models of some

C^{\infty}

function spaces is considered. By making use of some interpolative neighborhoods which are related to the linear topological invariant

D_{φ}

and other invariants related to the "quantity" characteristics of the space, a necessary condition for the isomorphism of two such spaces is proved. As applications, it is shown that some pairs of spaces which have the same interpolation property

D_{φ}

are not isomorphic.

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Title

Köthe spaces modeled on spaces of C∞ functions

Affiliations

Abstract

Bibliography

Köthe spaces modeled on spaces of $C^{\infty}$ functions