Köthe spaces modeled on spaces of C functions

Mefharet Kocatepe; Viacheslav Zahariuta

Studia Mathematica (1996)

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

Abstract

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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.

How to cite

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Kocatepe, 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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