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Item Details
Title: MULTIPLIER CONVERGENT SERIES
By: Charles Swartz
Format: Hardback

List price: £90.00
Our price: £81.00
Discount:
10% off
You save: £9.00
ISBN 10: 9812833870
ISBN 13: 9789812833877
Availability: Reprinting. This item may be subject to delays or cancellation.
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Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 11 December, 2008
Pages: 264
Description: A monograph that gives applications to topics in locally convex spaces and vector-valued measures.
Synopsis: 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} 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 multiplier convergent series is extended to operator-valued series and vector-valued multipliers.
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
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