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Properties of separable Banach-valued martingales

Arnott, Robert John


This thesis is conerned with the extension of the classical theory of martingales of real random variables as contained in Doob [4] to the abstract theory of martingales of random variables whose values lie in a real Banach space. Extensions of almost all the convergence theorems in [4] for discrete parameter martingales can be found in Chatterji [1] and [2], Scalora [10], Tulcea and Tulcea [12], and Driml and Hans [5]. In addition to extending the existing theory this thesis also...[Show more]

CollectionsOpen Access Theses
Date published: 1969
Type: Thesis (Masters)
DOI: 10.25911/5d723b83935bd


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