This paper aims at determining the measure of Q under necessary and sufficient conditions. The measure is an equivalent measure for identifying the given P such that the process with respect to P is the deflator locally martingale. The martingale and locally martingale measures will coincide for the deflator process discrete time. We define s-viable, s-price system, and no locally free lunch in ordered Banach algebra and identify that the s-price system is s-viable if and only a character functional exists. We further demonstrate that no locally free lunch is a necessary and sufficient condition for the equivalent martingale measure Q to exist for the deflator process and the subcharacter such that . This paper proves the existence of more than one condition and that all conditions are equivalent.

中文翻译：

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有序Banach代数平减过程的等价局部ting测度。

本文旨在确定在必要和充分条件下的Q的度量。这项措施是用于识别在给定的等效措施P，使得相对于所述处理P是局部鞅的平减。在平减程序离散时间，和本地mar措施将重合。我们定义s-可行，s-价格系统，并且在有序Banach代数中没有本地免费午餐，并确定s-价格系统当且仅当一个字符起作用时才是s-可行的存在。我们进一步证明，对于平减程序和子字符而言，没有等效的mar措施Q存在本地免费午餐是必要的充分条件 这样 。本文证明了不止一个条件的存在，并且所有条件都是等价的。