Domains of R-analytic existence in a real separable quojection

Authors

  • Murielle Mauer

DOI:

https://doi.org/10.1285/i15900932v20n2p69

Keywords:

Real-analytic function, Domain of analyticity, Domain of analytic existence, Quojection

Abstract

We prove that if E is a real separable quojection, a non void domain $ω$ of E is a domain of R-analytic existence if and only if $ω$ is open for a continuous semi-norm. We also prove that in a real separable Fréchet space, every non void domain is a domain of R-analyticity if and only if E has a continuous norm.

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Published

31-12-2001

Issue

Volume 20, Issue 2 (2000-2001)

Section

Articoli

License

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