Every Separable Complex Fréchet Space with a Continuous Norm is Isomorphic to a Space of Holomorphic Functions

DOI10.4153/S000843952000017XzbMath1478.46003arXiv2002.12677MaRDI QIDQ5858654

José Bonet

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12677

zbMATH Keywords

embedding theoremFréchet spacesspaces of holomorphic functionscontinuous norm

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Related Items (1)

Multiplier algebras of normed spaces of continuous functions

Cites Work

• Hypercyclic operators on non-normable Fréchet spaces
• Ultradifferentiable functions and Fourier analysis
• Linear polynomial approximation schemes in Banach holomorphic function spaces
• Analysis on Fock Spaces
• A nuclear Fréchet space consisting of 𝐶^{∞}-functions and failing the bounded approximation property
• Sequence space representations for (FN)-algebras of entire functions modulo closed ideals
• Monomial basis in Korenblum type spaces of analytic functions
• Geometric Characterization of Interpolating Varieties for the (FN)-Space A⁰_p of Entire Functions
• Non-natural topologies on spaces of holomorphic functions
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