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A topic in functional analysis

Abstract:

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 the sense of Garling. Using multipliers we shew that analytic martingales valued in L1 converge unconditionally and that AUMD spaces hav...

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Institution:
University of Oxford
Division:
MPLS
Role:
Author

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Role:
Supervisor
Role:
Supervisor
Publication date:
1989
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:0724199d-41fd-48f1-882c-19602576a2a0
Local pid:
td:602819964
Source identifiers:
602819964
Deposit date:
2013-01-21

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