Multiplier Convergent Series

Auteur: Charles Swartz
Taal: Engels
Multiplier Convergent Series
  • Engels
  • Hardcover
  • 9789812833877
  • december 2008
  • 264 pagina's
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Samenvatting

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=1 tjxj converges in X for every {tj} . 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 multiplier convergent series is extended to operator-valued series and vector-valued multipliers.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Verschijningsdatum
2008-10-01
Aantal pagina's
264 pagina's
Illustraties
Nee

EAN

EAN
9789812833877

Overige kenmerken

Extra groot lettertype
Nee
NUR code
918
Oorspronkelijke releasedatum
2008-12-11
Thema Subject Code
PBKJ

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