Imbedding of power series spaces and spaces of analytic functions

Aytuna, A.
Krone, J.
Terzioĝlu, T.
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.
Manuscripta Mathematica


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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: