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Imbedding of power series spaces and spaces of analytic functions
Date
1990-12
Author
Aytuna, A.
Krone, J.
Terzioĝlu, T.
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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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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.