Domains of R-analytic existence in a real separable quojection


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.

DOI Code: 10.1285/i15900932v20n2p69

Keywords: Real-analytic function; Domain of analyticity; Domain of analytic existence; Quojection

Classification: 46E50; 26E05; 46A04

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