|ISSN 1088-6826(online) ISSN 0002-9939(print)|
Products of quasi-measures
Abstract: A quasi-state is a positive functional on that is only assumed to be linear on singly-generated subalgebras. We consider the ``iterated integral'' of two quasi-states and determine when this gives a quasi-state on the product space. We also provide explicit formulas for the corresponding quasi-measures in case it does. Finally, we show the general failure of Fubini's Theorem for quasi-states.
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 28C05
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