Imbedding of power series spaces and spaces of analytic functions

Date

1990-12

Author

Aytuna, A.
Krone, J.
Terzioĝlu, T.

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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.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/51679

Journal

Manuscripta Mathematica

DOI

https://doi.org/10.1007/bf02568426

Collections

Department of Mathematics, Article

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Citation Formats

A. Aytuna, J. Krone, and T. Terzioĝlu, “Imbedding of power series spaces and spaces of analytic functions,” Manuscripta Mathematica, pp. 125–142, 1990, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51679.