The space of real-analytic functions has no basis

DOI10.4064/sm-142-2-187-200zbMath0990.46015OpenAlexW63600835MaRDI QIDQ2703085

Paweł Domański, Dietmar Vogt

Publication date: 14 August 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216797

zbMATH Keywords

Schauder basesproperty (DN)LB-spacesspace of real-analytic functionscomplemented Fréchet subspaceLN-spacemetrizable complemented subspacesnuclear linking mapsPLN-spaceproperty \((\overline{\overline \Omega})\)ultrabornological PLN-space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Summability and bases in topological vector spaces (46A35) Real-analytic functions (26E05)

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