Bourgain Algebras of Douglas Algebras

Let A be a Banach algebra and let B be a linear subspace of A. Recall that A has the Dunford Pettis property if whenever ƒn→ 0 weakly in A* and φn → 0 weakly in A* then φn(ƒn) → 0. Bourgain showed that H∞ has the Dunford Pettis property using the theory of ultraproducts. The Dunford Pettis property...

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Bibliographic Details
Published in:Canadian journal of mathematics Vol. 44; no. 4; pp. 797 - 804
Main Authors: Gorkin, Pamela, Izuchi, Keiji, Mortini, Raymond
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.08.1992
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ISSN:0008-414X, 1496-4279
Online Access:Get full text
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