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On the BAP in Fréchet Schwartz spaces and their duals

✍ Scribed by Jesús M. Fdez Castillo

Publisher
Springer Vienna
Year
1988
Tongue
English
Weight
200 KB
Volume
105
Category
Article
ISSN
0026-9255

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✍ Angela A. Albanese 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 660 KB

## Abstract For Ω an open subset of IR^N^ and 1 < __p__ < ∞, we prove that any complemented subspace __E__ of __L__^p^~loc~ (Ω) contains either a complemented copy of (__l__^2^)^IN^ or a complemented copy of (__l__^p^)^IN^, provided ≈︁ __F__ ≈︁ and ω and ≈︁ ω⊕ __F__ with __F__ Banach space. We also