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

Mefharet Kocatepe; Viacheslav Zahariuta

Studia Mathematica (1996)

- Volume: 121, Issue: 1, page 1-14
- ISSN: 0039-3223

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topKocatepe, Mefharet, and Zahariuta, Viacheslav. "Köthe spaces modeled on spaces of $C^∞$ functions." Studia Mathematica 121.1 (1996): 1-14. <http://eudml.org/doc/216340>.

@article{Kocatepe1996,

abstract = {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.},

author = {Kocatepe, Mefharet, Zahariuta, Viacheslav},

journal = {Studia Mathematica},

keywords = {isomorphic classification problem; Köthe models of some function spaces},

language = {eng},

number = {1},

pages = {1-14},

title = {Köthe spaces modeled on spaces of $C^∞$ functions},

url = {http://eudml.org/doc/216340},

volume = {121},

year = {1996},

}

TY - JOUR

AU - Kocatepe, Mefharet

AU - Zahariuta, Viacheslav

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

JO - Studia Mathematica

PY - 1996

VL - 121

IS - 1

SP - 1

EP - 14

AB - 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.

LA - eng

KW - isomorphic classification problem; Köthe models of some function spaces

UR - http://eudml.org/doc/216340

ER -

## References

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