Multiplier Convergent Series
Book Details
Format
Hardback or Cased Book
ISBN-10
9812833870
ISBN-13
9789812833877
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Dec 11th, 2008
Print length
264 Pages
Weight
506 grams
Dimensions
22.90 x 15.90 x 1.90 cms
Product Classification:
Differential calculus & equations
Ksh 16,200.00
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A monograph that gives applications to topics in locally convex spaces and vector-valued measures.
If λ is a space of scalar-valued sequences, then a series ∑j xj in a topological vector space X is λ-multiplier convergent if the series ∑j=1∞ tjxj converges in X for every {tj} ελ. 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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