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Weak compactness, pseudo-reflexivity and quasi-reflexivity

✍ Scribed by Ivan Singer

Publisher
Springer
Year
1964
Tongue
English
Weight
784 KB
Volume
154
Category
Article
ISSN
0025-5831

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Bases and quasi-reflexivity in Fréchet s
Bases and quasi-reflexivity in Fréchet spaces
✍ Manuel Valdivia 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 283 KB

## Abstract A Fréchet space __E__ is quasi‐reflexive if, either dim(__E__″/__E__) < ∞, or __E__″[__β__(__E__″,__E__′)]/__E__ is isomorphic to __ω__. A Fréchet space __E__ is totally quasi‐reflexive if every separated quotient is quasi‐reflexive. In this paper we show, using Schauder bases, that __E