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Fréchet-Valued Real Analytic Functions on Fréchet Spaces

✍ Scribed by Le Mau Hai; Nguyen Van Khue


Publisher
Springer Vienna
Year
2003
Tongue
English
Weight
224 KB
Volume
139
Category
Article
ISSN
0026-9255

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📜 SIMILAR VOLUMES


Perfect Fréchet Spaces
✍ Ed Dubinsky 📂 Article 📅 1967 🏛 Springer 🌐 English ⚖ 609 KB
Extension of Fréchet valued real analyti
✍ Dietmar Vogt 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract It is shown that for an algebraic subvariety __X__ of ℝ^__d__^ every Fréchet valued real analytic function on __X__ can be extended to a real analytic function on ℝ^__d__^ if and only if __X__ is of type (PL), i.e. all of its singularities are of a certain type. Necessity of this cond

On tame pairs of Fréchet spaces
✍ Krzysztof Piszczek 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 206 KB

## Abstract We characterize tame pairs (__X__, __Y__) of Fréchet spaces where either __X__ or __Y__ is a power series space. For power series spaces of finite type, we get the well‐known conditions of (__DN__)‐(Ω) type. On the other hand, for power series spaces of infinite type, surprisingly, tame