Domains of analytic existence in real Frechet spaces

• Autorzy: Mauer M.
• Języki publikacji: EN

Abstrakty

EN

If E is a real separable Frechet space, we prove that every non void domain Omega of E is open for a continuous semi-norm is a domain of analytic existence. In particular, every non void, open and convex subset Omega of E is a domain of analytic existence. Moreover, this result cannot be improved in the case of an arbitrary real separable Frechet space. In fact, in the space omega of real sequences, a non void domain Omega is a domain of analytic existence if and only if Omega is open for a continuous semi-norm.

Słowa kluczowe

EN

analytic function; domain of analytic existence; Frechet space

PL

funkcja analityczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1999
• Tom: Vol. 47, no 1
• Strony: 7--19
• Opis fizyczny: Bibliogr. 5 poz.,

Twórcy

autor

Mauer M.