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Köthe spaces modeled on spaces of C ∞ functions

Mefharet Kocatepe;  Viacheslav Zahariuta — 1996

Studia Mathematica

The isomorphic classification problem for the Köthe models of some C ∞ 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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