Multiplier Convergent Series
If ? is a space of scalar-valued sequences, then a series ?j xj in a topological vector space X is ?-multiplier convergent if the series ?j=18 tjxj converges in X for every {tj} e?. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the Orlicz-Pettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical Hahn-Schur theorem on the equivalence of weak and norm convergent series in ?1 are also developed for multiplier convergent series. Finally, the notion of multip…
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Produktdetails
- ISBN: 978-981-283-387-7
- EAN: 9789812833877
- Produktnummer: 29403081
- Verlag: World Scientific Pub Co Inc
- Sprache: Englisch
- Erscheinungsjahr: 2008
- Seitenangabe: 253 S.
- Masse: H22.9 cm x B15.2 cm x D2.3 cm 522 g
- Gewicht: 522
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