The space of real-analytic functions has no basis

By P. Dománski, D. Vogt. 2000

56 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0bf7cee0e4966116857beb0b7064f5fdf0b1756b

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In Applied Mathematics

1. José Bonet

Citations in the corpus

• Some aspects of the modern theory of Fréchet spaces (2003, background): “In their important paper [58], Doma ński and Vogt show that if G is an open subset of R, d ∈ N, then the separable, complete and nuclear space A(G) of all real analytic functions on G, endowed with its natural topology (which, however, has a rather complicated structure), does not have a Schauder ba”