Geodesic
Köthe spaces modeled on spaces of $C^∞$ functions
Studia Mathematica, Tome 121 (1996) no. 1, pp. 1-14

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-121-1-1-14

Mefharet Kocatepe 1 ; Viacheslav P. Zahariuta 1

1 
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Mefharet Kocatepe; Viacheslav P. Zahariuta. Köthe spaces modeled on spaces of $C^∞$ functions. Studia Mathematica, Tome 121 (1996) no. 1, pp. 1-14. doi: 10.4064/sm-121-1-1-14

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