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RESEARCH PRODUCT
Bases and quasi-reflexivity in Fréchet spaces
Manuel Valdiviasubject
Mathematics::Functional AnalysisPure mathematicsBasis (linear algebra)Fréchet spaceGeneral MathematicsProduct (mathematics)Banach spaceMathematics::General TopologyCountable setSubspace topologyQuotientMathematicsdescription
A Frechet space E is quasi-reflexive if, either dim(E″/E) < ∞, or E″[β(E″,E′)]/E is isomorphic to ω. A Frechet space E is totally quasi-reflexive if every separated quotient is quasi-reflexive. In this paper we show, using Schauder bases, that E is totally quasi-reflexive if and only if it is isomorphic to a closed subspace of a countable product of quasi-reflexive Banach spaces. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-04-01 | Mathematische Nachrichten |