Regular Unbounded Set Functions
نویسندگان
چکیده
Set functions which are unbounded on an algebra of sets arise naturally by taking the products of bounded operators and spectral measures acting on a space of square integrable functions. The purpose of this note is to show that, provided a certain regularity condition is satissed, there is a natural integration structure associated with such a set function and an auxiliary measure, so providing a complete space of integrable functions. Several examples illustrate the extent and limitations of the approach.
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