Complemented infinite type power series subspaces of nuclear Fréchet spaces

Date

1989-2

Author

Aytuna, A.
Krone, J.
Terzioğlu, T.

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Subject Keywords

General Mathematics, Mathematics

URI

https://hdl.handle.net/11511/51943

Journal

Mathematische Annalen

DOI

https://doi.org/10.1007/bf01446430

Collections

Department of Mathematics, Article

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Imbedding of power series spaces and spaces of analytic functions Aytuna, A.; Krone, J.; Terzioĝlu, T. (Springer Science and Business Media LLC, 1990-12) The diametral dimension of a nuclear Fréchet spaceE, which satisfies (DN) and (Ω), is related to power series spaces Λ1(ε) and Λ∞(ε) for some exponent sequence ε. It is proved thatE contains a complemented copy of Λ∞(ε) provided the diametral dimensions ofE and Λ∞(ε) are equal and ε is stable. Assuming Λ1(ε) is nuclear, any subspace of Λ1(ε) which satisfies (DN), can be imbedded intoE. Applications of these results to spaces of analytic functions are given.

Citation Formats

A. Aytuna, J. Krone, and T. Terzioğlu, “Complemented infinite type power series subspaces of nuclear Fréchet spaces,” Mathematische Annalen, pp. 193–202, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51943.