A topic in functional analysis

We introduce the class AUMD of Banach spaces X for which X-valued analytic martingales converge unconditionally. We shew that various possible definitions of this class are equivalent by methods of martingale decomposition. We shew that such X have finite cotype and are q-complex uniformly convex in...

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Bibliographic Details
Main Author: Blower, G.
Other Authors: Haydon, Richard
Published: University of Oxford 1989
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236244