MULTIPLIER CONVERGENT SERIES by Charles Swartz ( 9789812833877 )

Item Details

Title:

MULTIPLIER CONVERGENT SERIES

By:

Charles Swartz

Format:

Hardback

List price:

£90.00

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£81.00

Discount:

10% off

You save:

£9.00

ISBN 10:

9812833870

ISBN 13:

9789812833877

Availability:

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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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INTRODUCTION TO GAUGE INTEGRALS (HB)