On the Additivity of Unbounded Set Functions
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چکیده
The set functions associated with Schrr odinger's equation are known to be unbounded on the algebra of cylinder sets. However, there do exist examples of scalar values set functions which are unbounded, yet-additive on the underlying algebra of sets. The purpose of this note is to show that the set functions associated with Schrr odinger's equation and not-additive on cylinder sets. In the course of the proof, general conditions implying the non-additivity of unbounded set functions are given.
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تاریخ انتشار 2007