Properties of separable Banach-valued martingales
This thesis is conerned with the extension of the classical theory of martingales of real random variables as contained in Doob  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  for discrete parameter martingales can be found in Chatterji  and , Scalora , Tulcea and Tulcea , and Driml and Hans . In addition to extending the existing theory this thesis also...[Show more]
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