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Science/Engineering Multiplier Convergent Series

Posted on 2010-03-16




Name:Science/Engineering Multiplier Convergent Series
ASIN/ISBN:9812833870
Language:English
File size:1.4 Mb
ISBN: 9812833870
Publish Date: 2008
File Type: PDF
Pages: 264 Pages
File Size: 1.4 MB
Other Info: World Scientific Publishing Company
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Charles Swartz: "Multiplier Convergent Series"

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 ι1 are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.

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